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Finding the Fourth Proportional to 1,884.34, 2,600.42 and 1,128.90

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Solution

The fourth proportional to 1,884.34, 2,600.42 and 1,128.90 is: 1,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.34 : 2,600.42 = 1,128.90 : x
  2. Step 2: Convert to fraction form
    1,884.34/2,600.42 = 1,128.90/x
  3. Step 3: Cross multiply
    1,884.34x = 2,600.42 × 1,128.90
  4. Step 4: Simplify right side
    1,884.34x = 2,935,614.14
  5. Step 5: Solve for x
    x = 2,935,614.14/1,884.34
  6. Step 6: Final answer
    x = 1,557.90

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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.