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Finding the Fourth Proportional to 1,784.64, 2,462.63 and 987.87

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Solution

The fourth proportional to 1,784.64, 2,462.63 and 987.87 is: 1,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.64 : 2,462.63 = 987.87 : x
  2. Step 2: Convert to fraction form
    1,784.64/2,462.63 = 987.87/x
  3. Step 3: Cross multiply
    1,784.64x = 2,462.63 × 987.87
  4. Step 4: Simplify right side
    1,784.64x = 2,432,753.36
  5. Step 5: Solve for x
    x = 2,432,753.36/1,784.64
  6. Step 6: Final answer
    x = 1,363.16

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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.