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Finding the Fourth Proportional to 1,721.83, 2,583.69 and 931.17

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Solution

The fourth proportional to 1,721.83, 2,583.69 and 931.17 is: 1,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.83 : 2,583.69 = 931.17 : x
  2. Step 2: Convert to fraction form
    1,721.83/2,583.69 = 931.17/x
  3. Step 3: Cross multiply
    1,721.83x = 2,583.69 × 931.17
  4. Step 4: Simplify right side
    1,721.83x = 2,405,854.62
  5. Step 5: Solve for x
    x = 2,405,854.62/1,721.83
  6. Step 6: Final answer
    x = 1,397.27

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1.5x scale

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.