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Finding the Fourth Proportional to 1,864.73, 2,798.51 and 987.12

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Solution

The fourth proportional to 1,864.73, 2,798.51 and 987.12 is: 1,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.73 : 2,798.51 = 987.12 : x
  2. Step 2: Convert to fraction form
    1,864.73/2,798.51 = 987.12/x
  3. Step 3: Cross multiply
    1,864.73x = 2,798.51 × 987.12
  4. Step 4: Simplify right side
    1,864.73x = 2,762,460.26
  5. Step 5: Solve for x
    x = 2,762,460.26/1,864.73
  6. Step 6: Final answer
    x = 1,481.42

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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.