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Finding the Fourth Proportional to 1,649.36, 2,460.15 and 1,534.55

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Solution

The fourth proportional to 1,649.36, 2,460.15 and 1,534.55 is: 2,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.36 : 2,460.15 = 1,534.55 : x
  2. Step 2: Convert to fraction form
    1,649.36/2,460.15 = 1,534.55/x
  3. Step 3: Cross multiply
    1,649.36x = 2,460.15 × 1,534.55
  4. Step 4: Simplify right side
    1,649.36x = 3,775,206.57
  5. Step 5: Solve for x
    x = 3,775,206.57/1,649.36
  6. Step 6: Final answer
    x = 2,288.89

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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.