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Finding the Fourth Proportional to 1,141.46, 1,573.78 and 931.42

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Solution

The fourth proportional to 1,141.46, 1,573.78 and 931.42 is: 1,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.46 : 1,573.78 = 931.42 : x
  2. Step 2: Convert to fraction form
    1,141.46/1,573.78 = 931.42/x
  3. Step 3: Cross multiply
    1,141.46x = 1,573.78 × 931.42
  4. Step 4: Simplify right side
    1,141.46x = 1,465,851.55
  5. Step 5: Solve for x
    x = 1,465,851.55/1,141.46
  6. Step 6: Final answer
    x = 1,284.19

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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.