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Finding the Fourth Proportional to 1,486.35, 2,051.19 and 896.76

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Solution

The fourth proportional to 1,486.35, 2,051.19 and 896.76 is: 1,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.35 : 2,051.19 = 896.76 : x
  2. Step 2: Convert to fraction form
    1,486.35/2,051.19 = 896.76/x
  3. Step 3: Cross multiply
    1,486.35x = 2,051.19 × 896.76
  4. Step 4: Simplify right side
    1,486.35x = 1,839,425.14
  5. Step 5: Solve for x
    x = 1,839,425.14/1,486.35
  6. Step 6: Final answer
    x = 1,237.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.