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Finding the Fourth Proportional to 2,428.47, 3,349.22 and 2,052.18

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Solution

The fourth proportional to 2,428.47, 3,349.22 and 2,052.18 is: 2,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.47 : 3,349.22 = 2,052.18 : x
  2. Step 2: Convert to fraction form
    2,428.47/3,349.22 = 2,052.18/x
  3. Step 3: Cross multiply
    2,428.47x = 3,349.22 × 2,052.18
  4. Step 4: Simplify right side
    2,428.47x = 6,873,192.04
  5. Step 5: Solve for x
    x = 6,873,192.04/2,428.47
  6. Step 6: Final answer
    x = 2,830.26

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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.