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Finding the Fourth Proportional to 1,470.97, 2,029.67 and 1,078.93

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Solution

The fourth proportional to 1,470.97, 2,029.67 and 1,078.93 is: 1,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.97 : 2,029.67 = 1,078.93 : x
  2. Step 2: Convert to fraction form
    1,470.97/2,029.67 = 1,078.93/x
  3. Step 3: Cross multiply
    1,470.97x = 2,029.67 × 1,078.93
  4. Step 4: Simplify right side
    1,470.97x = 2,189,861.70
  5. Step 5: Solve for x
    x = 2,189,861.70/1,470.97
  6. Step 6: Final answer
    x = 1,488.72

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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.