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Finding the Fourth Proportional to 1,742.69, 2,404.77 and 956.78

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Solution

The fourth proportional to 1,742.69, 2,404.77 and 956.78 is: 1,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.69 : 2,404.77 = 956.78 : x
  2. Step 2: Convert to fraction form
    1,742.69/2,404.77 = 956.78/x
  3. Step 3: Cross multiply
    1,742.69x = 2,404.77 × 956.78
  4. Step 4: Simplify right side
    1,742.69x = 2,300,823.82
  5. Step 5: Solve for x
    x = 2,300,823.82/1,742.69
  6. Step 6: Final answer
    x = 1,320.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.