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Finding the Fourth Proportional to 2,702.70, 4,048.38 and 1,400.22

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Solution

The fourth proportional to 2,702.70, 4,048.38 and 1,400.22 is: 2,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.70 : 4,048.38 = 1,400.22 : x
  2. Step 2: Convert to fraction form
    2,702.70/4,048.38 = 1,400.22/x
  3. Step 3: Cross multiply
    2,702.70x = 4,048.38 × 1,400.22
  4. Step 4: Simplify right side
    2,702.70x = 5,668,622.64
  5. Step 5: Solve for x
    x = 5,668,622.64/2,702.70
  6. Step 6: Final answer
    x = 2,097.39

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