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Finding the Fourth Proportional to 2,740.48, 4,098.52 and 2,434.32

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Solution

The fourth proportional to 2,740.48, 4,098.52 and 2,434.32 is: 3,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.48 : 4,098.52 = 2,434.32 : x
  2. Step 2: Convert to fraction form
    2,740.48/4,098.52 = 2,434.32/x
  3. Step 3: Cross multiply
    2,740.48x = 4,098.52 × 2,434.32
  4. Step 4: Simplify right side
    2,740.48x = 9,977,109.21
  5. Step 5: Solve for x
    x = 9,977,109.21/2,740.48
  6. Step 6: Final answer
    x = 3,640.64

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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.