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Finding the Fourth Proportional to 1,593.93, 2,199.66 and 956.19

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Solution

The fourth proportional to 1,593.93, 2,199.66 and 956.19 is: 1,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.93 : 2,199.66 = 956.19 : x
  2. Step 2: Convert to fraction form
    1,593.93/2,199.66 = 956.19/x
  3. Step 3: Cross multiply
    1,593.93x = 2,199.66 × 956.19
  4. Step 4: Simplify right side
    1,593.93x = 2,103,285.19
  5. Step 5: Solve for x
    x = 2,103,285.19/1,593.93
  6. Step 6: Final answer
    x = 1,319.56

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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.