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Finding the Fourth Proportional to 1,931.54, 2,897.18 and 615.27

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Solution

The fourth proportional to 1,931.54, 2,897.18 and 615.27 is: 922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.54 : 2,897.18 = 615.27 : x
  2. Step 2: Convert to fraction form
    1,931.54/2,897.18 = 615.27/x
  3. Step 3: Cross multiply
    1,931.54x = 2,897.18 × 615.27
  4. Step 4: Simplify right side
    1,931.54x = 1,782,544.86
  5. Step 5: Solve for x
    x = 1,782,544.86/1,931.54
  6. Step 6: Final answer
    x = 922.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.