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Finding the Fourth Proportional to 1,400.15, 1,931.71 and 928.27

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Solution

The fourth proportional to 1,400.15, 1,931.71 and 928.27 is: 1,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.15 : 1,931.71 = 928.27 : x
  2. Step 2: Convert to fraction form
    1,400.15/1,931.71 = 928.27/x
  3. Step 3: Cross multiply
    1,400.15x = 1,931.71 × 928.27
  4. Step 4: Simplify right side
    1,400.15x = 1,793,148.44
  5. Step 5: Solve for x
    x = 1,793,148.44/1,400.15
  6. Step 6: Final answer
    x = 1,280.68

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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.