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Finding the Fourth Proportional to 2,655.91, 3,983.85 and 924.52

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Solution

The fourth proportional to 2,655.91, 3,983.85 and 924.52 is: 1,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.91 : 3,983.85 = 924.52 : x
  2. Step 2: Convert to fraction form
    2,655.91/3,983.85 = 924.52/x
  3. Step 3: Cross multiply
    2,655.91x = 3,983.85 × 924.52
  4. Step 4: Simplify right side
    2,655.91x = 3,683,149.00
  5. Step 5: Solve for x
    x = 3,683,149.00/2,655.91
  6. Step 6: Final answer
    x = 1,386.77

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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.