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Finding the Fourth Proportional to 1,458.28, 2,007.90 and 1,271.78

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Solution

The fourth proportional to 1,458.28, 2,007.90 and 1,271.78 is: 1,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.28 : 2,007.90 = 1,271.78 : x
  2. Step 2: Convert to fraction form
    1,458.28/2,007.90 = 1,271.78/x
  3. Step 3: Cross multiply
    1,458.28x = 2,007.90 × 1,271.78
  4. Step 4: Simplify right side
    1,458.28x = 2,553,607.06
  5. Step 5: Solve for x
    x = 2,553,607.06/1,458.28
  6. Step 6: Final answer
    x = 1,751.11

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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.