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Finding the Fourth Proportional to 2,373.88, 3,560.71 and 730.35

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Solution

The fourth proportional to 2,373.88, 3,560.71 and 730.35 is: 1,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.88 : 3,560.71 = 730.35 : x
  2. Step 2: Convert to fraction form
    2,373.88/3,560.71 = 730.35/x
  3. Step 3: Cross multiply
    2,373.88x = 3,560.71 × 730.35
  4. Step 4: Simplify right side
    2,373.88x = 2,600,560.90
  5. Step 5: Solve for x
    x = 2,600,560.90/2,373.88
  6. Step 6: Final answer
    x = 1,095.49

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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.