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Finding the Fourth Proportional to 1,742.64, 2,404.84 and 956.68

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Solution

The fourth proportional to 1,742.64, 2,404.84 and 956.68 is: 1,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.64 : 2,404.84 = 956.68 : x
  2. Step 2: Convert to fraction form
    1,742.64/2,404.84 = 956.68/x
  3. Step 3: Cross multiply
    1,742.64x = 2,404.84 × 956.68
  4. Step 4: Simplify right side
    1,742.64x = 2,300,662.33
  5. Step 5: Solve for x
    x = 2,300,662.33/1,742.64
  6. Step 6: Final answer
    x = 1,320.22

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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.