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Finding the Fourth Proportional to 1,775.16, 2,660.61 and 1,045.20

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Solution

The fourth proportional to 1,775.16, 2,660.61 and 1,045.20 is: 1,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.16 : 2,660.61 = 1,045.20 : x
  2. Step 2: Convert to fraction form
    1,775.16/2,660.61 = 1,045.20/x
  3. Step 3: Cross multiply
    1,775.16x = 2,660.61 × 1,045.20
  4. Step 4: Simplify right side
    1,775.16x = 2,780,869.57
  5. Step 5: Solve for x
    x = 2,780,869.57/1,775.16
  6. Step 6: Final answer
    x = 1,566.55

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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.