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Finding the Fourth Proportional to 1,568.27, 2,352.55 and 581.35

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Solution

The fourth proportional to 1,568.27, 2,352.55 and 581.35 is: 872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.27 : 2,352.55 = 581.35 : x
  2. Step 2: Convert to fraction form
    1,568.27/2,352.55 = 581.35/x
  3. Step 3: Cross multiply
    1,568.27x = 2,352.55 × 581.35
  4. Step 4: Simplify right side
    1,568.27x = 1,367,643.18
  5. Step 5: Solve for x
    x = 1,367,643.18/1,568.27
  6. Step 6: Final answer
    x = 872.07

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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.