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Finding the Fourth Proportional to 2,534.70, 3,802.05 and 2,425.35

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Solution

The fourth proportional to 2,534.70, 3,802.05 and 2,425.35 is: 3,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.70 : 3,802.05 = 2,425.35 : x
  2. Step 2: Convert to fraction form
    2,534.70/3,802.05 = 2,425.35/x
  3. Step 3: Cross multiply
    2,534.70x = 3,802.05 × 2,425.35
  4. Step 4: Simplify right side
    2,534.70x = 9,221,301.97
  5. Step 5: Solve for x
    x = 9,221,301.97/2,534.70
  6. Step 6: Final answer
    x = 3,638.03

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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.