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Finding the Fourth Proportional to 2,468.34, 3,702.44 and 1,007.51

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Solution

The fourth proportional to 2,468.34, 3,702.44 and 1,007.51 is: 1,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.34 : 3,702.44 = 1,007.51 : x
  2. Step 2: Convert to fraction form
    2,468.34/3,702.44 = 1,007.51/x
  3. Step 3: Cross multiply
    2,468.34x = 3,702.44 × 1,007.51
  4. Step 4: Simplify right side
    2,468.34x = 3,730,221.77
  5. Step 5: Solve for x
    x = 3,730,221.77/2,468.34
  6. Step 6: Final answer
    x = 1,511.23

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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.