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Finding the Fourth Proportional to 1,732.64, 2,599.43 and 910.71

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Solution

The fourth proportional to 1,732.64, 2,599.43 and 910.71 is: 1,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.64 : 2,599.43 = 910.71 : x
  2. Step 2: Convert to fraction form
    1,732.64/2,599.43 = 910.71/x
  3. Step 3: Cross multiply
    1,732.64x = 2,599.43 × 910.71
  4. Step 4: Simplify right side
    1,732.64x = 2,367,322.34
  5. Step 5: Solve for x
    x = 2,367,322.34/1,732.64
  6. Step 6: Final answer
    x = 1,366.31

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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.