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Finding the Fourth Proportional to 1,649.74, 2,460.71 and 1,534.92

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Solution

The fourth proportional to 1,649.74, 2,460.71 and 1,534.92 is: 2,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.74 : 2,460.71 = 1,534.92 : x
  2. Step 2: Convert to fraction form
    1,649.74/2,460.71 = 1,534.92/x
  3. Step 3: Cross multiply
    1,649.74x = 2,460.71 × 1,534.92
  4. Step 4: Simplify right side
    1,649.74x = 3,776,985.32
  5. Step 5: Solve for x
    x = 3,776,985.32/1,649.74
  6. Step 6: Final answer
    x = 2,289.45

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.