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Finding the Fourth Proportional to 2,467.93, 3,702.51 and 712.89

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Solution

The fourth proportional to 2,467.93, 3,702.51 and 712.89 is: 1,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.93 : 3,702.51 = 712.89 : x
  2. Step 2: Convert to fraction form
    2,467.93/3,702.51 = 712.89/x
  3. Step 3: Cross multiply
    2,467.93x = 3,702.51 × 712.89
  4. Step 4: Simplify right side
    2,467.93x = 2,639,482.35
  5. Step 5: Solve for x
    x = 2,639,482.35/2,467.93
  6. Step 6: Final answer
    x = 1,069.51

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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.