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Finding the Fourth Proportional to 2,654.08, 3,980.16 and 924.16

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Solution

The fourth proportional to 2,654.08, 3,980.16 and 924.16 is: 1,385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.08 : 3,980.16 = 924.16 : x
  2. Step 2: Convert to fraction form
    2,654.08/3,980.16 = 924.16/x
  3. Step 3: Cross multiply
    2,654.08x = 3,980.16 × 924.16
  4. Step 4: Simplify right side
    2,654.08x = 3,678,304.67
  5. Step 5: Solve for x
    x = 3,678,304.67/2,654.08
  6. Step 6: Final answer
    x = 1,385.91

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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.