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Finding the Fourth Proportional to 2,602.48, 3,897.72 and 1,504.12

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Solution

The fourth proportional to 2,602.48, 3,897.72 and 1,504.12 is: 2,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.48 : 3,897.72 = 1,504.12 : x
  2. Step 2: Convert to fraction form
    2,602.48/3,897.72 = 1,504.12/x
  3. Step 3: Cross multiply
    2,602.48x = 3,897.72 × 1,504.12
  4. Step 4: Simplify right side
    2,602.48x = 5,862,638.61
  5. Step 5: Solve for x
    x = 5,862,638.61/2,602.48
  6. Step 6: Final answer
    x = 2,252.71

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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.