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Finding the Fourth Proportional to 1,742.69, 2,404.97 and 956.76

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Solution

The fourth proportional to 1,742.69, 2,404.97 and 956.76 is: 1,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.69 : 2,404.97 = 956.76 : x
  2. Step 2: Convert to fraction form
    1,742.69/2,404.97 = 956.76/x
  3. Step 3: Cross multiply
    1,742.69x = 2,404.97 × 956.76
  4. Step 4: Simplify right side
    1,742.69x = 2,300,976.98
  5. Step 5: Solve for x
    x = 2,300,976.98/1,742.69
  6. Step 6: Final answer
    x = 1,320.36

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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.