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Finding the Fourth Proportional to 1,952.48, 2,929.80 and 1,170.56

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Solution

The fourth proportional to 1,952.48, 2,929.80 and 1,170.56 is: 1,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.48 : 2,929.80 = 1,170.56 : x
  2. Step 2: Convert to fraction form
    1,952.48/2,929.80 = 1,170.56/x
  3. Step 3: Cross multiply
    1,952.48x = 2,929.80 × 1,170.56
  4. Step 4: Simplify right side
    1,952.48x = 3,429,506.69
  5. Step 5: Solve for x
    x = 3,429,506.69/1,952.48
  6. Step 6: Final answer
    x = 1,756.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.