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Finding the Fourth Proportional to 1,767.58, 2,651.40 and 987.13

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Solution

The fourth proportional to 1,767.58, 2,651.40 and 987.13 is: 1,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.58 : 2,651.40 = 987.13 : x
  2. Step 2: Convert to fraction form
    1,767.58/2,651.40 = 987.13/x
  3. Step 3: Cross multiply
    1,767.58x = 2,651.40 × 987.13
  4. Step 4: Simplify right side
    1,767.58x = 2,617,276.48
  5. Step 5: Solve for x
    x = 2,617,276.48/1,767.58
  6. Step 6: Final answer
    x = 1,480.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.