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Finding the Fourth Proportional to 1,812.16, 2,718.76 and 579.76

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Solution

The fourth proportional to 1,812.16, 2,718.76 and 579.76 is: 869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.16 : 2,718.76 = 579.76 : x
  2. Step 2: Convert to fraction form
    1,812.16/2,718.76 = 579.76/x
  3. Step 3: Cross multiply
    1,812.16x = 2,718.76 × 579.76
  4. Step 4: Simplify right side
    1,812.16x = 1,576,228.30
  5. Step 5: Solve for x
    x = 1,576,228.30/1,812.16
  6. Step 6: Final answer
    x = 869.81

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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.