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Finding the Fourth Proportional to 1,455.28, 2,007.73 and 931.61

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Solution

The fourth proportional to 1,455.28, 2,007.73 and 931.61 is: 1,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.28 : 2,007.73 = 931.61 : x
  2. Step 2: Convert to fraction form
    1,455.28/2,007.73 = 931.61/x
  3. Step 3: Cross multiply
    1,455.28x = 2,007.73 × 931.61
  4. Step 4: Simplify right side
    1,455.28x = 1,870,421.35
  5. Step 5: Solve for x
    x = 1,870,421.35/1,455.28
  6. Step 6: Final answer
    x = 1,285.27

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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.