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Finding the Fourth Proportional to 1,765.18, 2,644.12 and 1,147.35

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Solution

The fourth proportional to 1,765.18, 2,644.12 and 1,147.35 is: 1,718.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.18 : 2,644.12 = 1,147.35 : x
  2. Step 2: Convert to fraction form
    1,765.18/2,644.12 = 1,147.35/x
  3. Step 3: Cross multiply
    1,765.18x = 2,644.12 × 1,147.35
  4. Step 4: Simplify right side
    1,765.18x = 3,033,731.08
  5. Step 5: Solve for x
    x = 3,033,731.08/1,765.18
  6. Step 6: Final answer
    x = 1,718.65

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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.