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Finding the Fourth Proportional to 2,656.10, 3,985.97 and 924.72

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Solution

The fourth proportional to 2,656.10, 3,985.97 and 924.72 is: 1,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.10 : 3,985.97 = 924.72 : x
  2. Step 2: Convert to fraction form
    2,656.10/3,985.97 = 924.72/x
  3. Step 3: Cross multiply
    2,656.10x = 3,985.97 × 924.72
  4. Step 4: Simplify right side
    2,656.10x = 3,685,906.18
  5. Step 5: Solve for x
    x = 3,685,906.18/2,656.10
  6. Step 6: Final answer
    x = 1,387.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.