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Finding the Fourth Proportional to 1,470.40, 2,028.96 and 880.72

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Solution

The fourth proportional to 1,470.40, 2,028.96 and 880.72 is: 1,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.40 : 2,028.96 = 880.72 : x
  2. Step 2: Convert to fraction form
    1,470.40/2,028.96 = 880.72/x
  3. Step 3: Cross multiply
    1,470.40x = 2,028.96 × 880.72
  4. Step 4: Simplify right side
    1,470.40x = 1,786,945.65
  5. Step 5: Solve for x
    x = 1,786,945.65/1,470.40
  6. Step 6: Final answer
    x = 1,215.28

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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.