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Finding the Fourth Proportional to 2,702.88, 4,057.92 and 1,470.96

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Solution

The fourth proportional to 2,702.88, 4,057.92 and 1,470.96 is: 2,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.88 : 4,057.92 = 1,470.96 : x
  2. Step 2: Convert to fraction form
    2,702.88/4,057.92 = 1,470.96/x
  3. Step 3: Cross multiply
    2,702.88x = 4,057.92 × 1,470.96
  4. Step 4: Simplify right side
    2,702.88x = 5,969,038.00
  5. Step 5: Solve for x
    x = 5,969,038.00/2,702.88
  6. Step 6: Final answer
    x = 2,208.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.