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Finding the Fourth Proportional to 2,702.34, 3,730.32 and 2,039.36

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Solution

The fourth proportional to 2,702.34, 3,730.32 and 2,039.36 is: 2,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.34 : 3,730.32 = 2,039.36 : x
  2. Step 2: Convert to fraction form
    2,702.34/3,730.32 = 2,039.36/x
  3. Step 3: Cross multiply
    2,702.34x = 3,730.32 × 2,039.36
  4. Step 4: Simplify right side
    2,702.34x = 7,607,446.74
  5. Step 5: Solve for x
    x = 7,607,446.74/2,702.34
  6. Step 6: Final answer
    x = 2,815.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.