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Finding the Fourth Proportional to 1,567.71, 2,350.96 and 580.37

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Solution

The fourth proportional to 1,567.71, 2,350.96 and 580.37 is: 870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.71 : 2,350.96 = 580.37 : x
  2. Step 2: Convert to fraction form
    1,567.71/2,350.96 = 580.37/x
  3. Step 3: Cross multiply
    1,567.71x = 2,350.96 × 580.37
  4. Step 4: Simplify right side
    1,567.71x = 1,364,426.67
  5. Step 5: Solve for x
    x = 1,364,426.67/1,567.71
  6. Step 6: Final answer
    x = 870.33

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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.