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Finding the Fourth Proportional to 2,502.90, 3,754.35 and 2,114.10

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Solution

The fourth proportional to 2,502.90, 3,754.35 and 2,114.10 is: 3,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.90 : 3,754.35 = 2,114.10 : x
  2. Step 2: Convert to fraction form
    2,502.90/3,754.35 = 2,114.10/x
  3. Step 3: Cross multiply
    2,502.90x = 3,754.35 × 2,114.10
  4. Step 4: Simplify right side
    2,502.90x = 7,937,071.34
  5. Step 5: Solve for x
    x = 7,937,071.34/2,502.90
  6. Step 6: Final answer
    x = 3,171.15

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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.