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Finding the Fourth Proportional to 1,724.81, 2,586.76 and 750.69

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Solution

The fourth proportional to 1,724.81, 2,586.76 and 750.69 is: 1,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.81 : 2,586.76 = 750.69 : x
  2. Step 2: Convert to fraction form
    1,724.81/2,586.76 = 750.69/x
  3. Step 3: Cross multiply
    1,724.81x = 2,586.76 × 750.69
  4. Step 4: Simplify right side
    1,724.81x = 1,941,854.86
  5. Step 5: Solve for x
    x = 1,941,854.86/1,724.81
  6. Step 6: Final answer
    x = 1,125.84

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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.