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Finding the Fourth Proportional to 2,125.68, 3,188.16 and 586.68

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Solution

The fourth proportional to 2,125.68, 3,188.16 and 586.68 is: 879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.68 : 3,188.16 = 586.68 : x
  2. Step 2: Convert to fraction form
    2,125.68/3,188.16 = 586.68/x
  3. Step 3: Cross multiply
    2,125.68x = 3,188.16 × 586.68
  4. Step 4: Simplify right side
    2,125.68x = 1,870,429.71
  5. Step 5: Solve for x
    x = 1,870,429.71/2,125.68
  6. Step 6: Final answer
    x = 879.92

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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.