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Finding the Fourth Proportional to 1,734.72, 2,387.52 and 1,656.96

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Solution

The fourth proportional to 1,734.72, 2,387.52 and 1,656.96 is: 2,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.72 : 2,387.52 = 1,656.96 : x
  2. Step 2: Convert to fraction form
    1,734.72/2,387.52 = 1,656.96/x
  3. Step 3: Cross multiply
    1,734.72x = 2,387.52 × 1,656.96
  4. Step 4: Simplify right side
    1,734.72x = 3,956,025.14
  5. Step 5: Solve for x
    x = 3,956,025.14/1,734.72
  6. Step 6: Final answer
    x = 2,280.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.