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Finding the Fourth Proportional to 1,663.88, 2,296.47 and 956.19

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Solution

The fourth proportional to 1,663.88, 2,296.47 and 956.19 is: 1,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.88 : 2,296.47 = 956.19 : x
  2. Step 2: Convert to fraction form
    1,663.88/2,296.47 = 956.19/x
  3. Step 3: Cross multiply
    1,663.88x = 2,296.47 × 956.19
  4. Step 4: Simplify right side
    1,663.88x = 2,195,861.65
  5. Step 5: Solve for x
    x = 2,195,861.65/1,663.88
  6. Step 6: Final answer
    x = 1,319.73

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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.