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Finding the Fourth Proportional to 2,502.84, 3,454.08 and 1,440.96

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Solution

The fourth proportional to 2,502.84, 3,454.08 and 1,440.96 is: 1,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.84 : 3,454.08 = 1,440.96 : x
  2. Step 2: Convert to fraction form
    2,502.84/3,454.08 = 1,440.96/x
  3. Step 3: Cross multiply
    2,502.84x = 3,454.08 × 1,440.96
  4. Step 4: Simplify right side
    2,502.84x = 4,977,191.12
  5. Step 5: Solve for x
    x = 4,977,191.12/2,502.84
  6. Step 6: Final answer
    x = 1,988.62

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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.