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Finding the Fourth Proportional to 1,593.74, 2,199.53 and 964.61

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Solution

The fourth proportional to 1,593.74, 2,199.53 and 964.61 is: 1,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.74 : 2,199.53 = 964.61 : x
  2. Step 2: Convert to fraction form
    1,593.74/2,199.53 = 964.61/x
  3. Step 3: Cross multiply
    1,593.74x = 2,199.53 × 964.61
  4. Step 4: Simplify right side
    1,593.74x = 2,121,689.31
  5. Step 5: Solve for x
    x = 2,121,689.31/1,593.74
  6. Step 6: Final answer
    x = 1,331.27

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1.5x scale

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.