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Finding the Fourth Proportional to 1,742.70, 2,404.96 and 956.78

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Solution

The fourth proportional to 1,742.70, 2,404.96 and 956.78 is: 1,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.70 : 2,404.96 = 956.78 : x
  2. Step 2: Convert to fraction form
    1,742.70/2,404.96 = 956.78/x
  3. Step 3: Cross multiply
    1,742.70x = 2,404.96 × 956.78
  4. Step 4: Simplify right side
    1,742.70x = 2,301,017.63
  5. Step 5: Solve for x
    x = 2,301,017.63/1,742.70
  6. Step 6: Final answer
    x = 1,320.38

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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.