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Finding the Fourth Proportional to 1,654.34, 2,480.04 and 924.14

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Solution

The fourth proportional to 1,654.34, 2,480.04 and 924.14 is: 1,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.34 : 2,480.04 = 924.14 : x
  2. Step 2: Convert to fraction form
    1,654.34/2,480.04 = 924.14/x
  3. Step 3: Cross multiply
    1,654.34x = 2,480.04 × 924.14
  4. Step 4: Simplify right side
    1,654.34x = 2,291,904.17
  5. Step 5: Solve for x
    x = 2,291,904.17/1,654.34
  6. Step 6: Final answer
    x = 1,385.39

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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.