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Finding the Fourth Proportional to 1,297.61, 1,937.17 and 1,252.04

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Solution

The fourth proportional to 1,297.61, 1,937.17 and 1,252.04 is: 1,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.61 : 1,937.17 = 1,252.04 : x
  2. Step 2: Convert to fraction form
    1,297.61/1,937.17 = 1,252.04/x
  3. Step 3: Cross multiply
    1,297.61x = 1,937.17 × 1,252.04
  4. Step 4: Simplify right side
    1,297.61x = 2,425,408.07
  5. Step 5: Solve for x
    x = 2,425,408.07/1,297.61
  6. Step 6: Final answer
    x = 1,869.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.