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Finding the Fourth Proportional to 1,257.61, 1,737.25 and 1,196.10

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Solution

The fourth proportional to 1,257.61, 1,737.25 and 1,196.10 is: 1,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.61 : 1,737.25 = 1,196.10 : x
  2. Step 2: Convert to fraction form
    1,257.61/1,737.25 = 1,196.10/x
  3. Step 3: Cross multiply
    1,257.61x = 1,737.25 × 1,196.10
  4. Step 4: Simplify right side
    1,257.61x = 2,077,931.72
  5. Step 5: Solve for x
    x = 2,077,931.72/1,257.61
  6. Step 6: Final answer
    x = 1,652.28

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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.