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Finding the Fourth Proportional to 1,470.24, 2,029.22 and 872.86

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Solution

The fourth proportional to 1,470.24, 2,029.22 and 872.86 is: 1,204.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.24 : 2,029.22 = 872.86 : x
  2. Step 2: Convert to fraction form
    1,470.24/2,029.22 = 872.86/x
  3. Step 3: Cross multiply
    1,470.24x = 2,029.22 × 872.86
  4. Step 4: Simplify right side
    1,470.24x = 1,771,224.97
  5. Step 5: Solve for x
    x = 1,771,224.97/1,470.24
  6. Step 6: Final answer
    x = 1,204.72

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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.