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Finding the Fourth Proportional to 1,730.43, 2,387.98 and 944.47

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Solution

The fourth proportional to 1,730.43, 2,387.98 and 944.47 is: 1,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.43 : 2,387.98 = 944.47 : x
  2. Step 2: Convert to fraction form
    1,730.43/2,387.98 = 944.47/x
  3. Step 3: Cross multiply
    1,730.43x = 2,387.98 × 944.47
  4. Step 4: Simplify right side
    1,730.43x = 2,255,375.47
  5. Step 5: Solve for x
    x = 2,255,375.47/1,730.43
  6. Step 6: Final answer
    x = 1,303.36

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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.