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Finding the Fourth Proportional to 1,272.58, 1,916.87 and 1,157.76

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Solution

The fourth proportional to 1,272.58, 1,916.87 and 1,157.76 is: 1,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.58 : 1,916.87 = 1,157.76 : x
  2. Step 2: Convert to fraction form
    1,272.58/1,916.87 = 1,157.76/x
  3. Step 3: Cross multiply
    1,272.58x = 1,916.87 × 1,157.76
  4. Step 4: Simplify right side
    1,272.58x = 2,219,269.62
  5. Step 5: Solve for x
    x = 2,219,269.62/1,272.58
  6. Step 6: Final answer
    x = 1,743.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.