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Finding the Fourth Proportional to 1,543.72, 2,129.26 and 1,123.64

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Solution

The fourth proportional to 1,543.72, 2,129.26 and 1,123.64 is: 1,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.72 : 2,129.26 = 1,123.64 : x
  2. Step 2: Convert to fraction form
    1,543.72/2,129.26 = 1,123.64/x
  3. Step 3: Cross multiply
    1,543.72x = 2,129.26 × 1,123.64
  4. Step 4: Simplify right side
    1,543.72x = 2,392,521.71
  5. Step 5: Solve for x
    x = 2,392,521.71/1,543.72
  6. Step 6: Final answer
    x = 1,549.84

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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.