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Finding the Fourth Proportional to 1,566.93, 2,347.56 and 1,017.75

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Solution

The fourth proportional to 1,566.93, 2,347.56 and 1,017.75 is: 1,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.93 : 2,347.56 = 1,017.75 : x
  2. Step 2: Convert to fraction form
    1,566.93/2,347.56 = 1,017.75/x
  3. Step 3: Cross multiply
    1,566.93x = 2,347.56 × 1,017.75
  4. Step 4: Simplify right side
    1,566.93x = 2,389,229.19
  5. Step 5: Solve for x
    x = 2,389,229.19/1,566.93
  6. Step 6: Final answer
    x = 1,524.78

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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.