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Finding the Fourth Proportional to 1,532.54, 2,297.46 and 1,166.42

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Solution

The fourth proportional to 1,532.54, 2,297.46 and 1,166.42 is: 1,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.54 : 2,297.46 = 1,166.42 : x
  2. Step 2: Convert to fraction form
    1,532.54/2,297.46 = 1,166.42/x
  3. Step 3: Cross multiply
    1,532.54x = 2,297.46 × 1,166.42
  4. Step 4: Simplify right side
    1,532.54x = 2,679,803.29
  5. Step 5: Solve for x
    x = 2,679,803.29/1,532.54
  6. Step 6: Final answer
    x = 1,748.60

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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.