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Finding the Fourth Proportional to 1,563.24, 2,343.24 and 869.72

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Solution

The fourth proportional to 1,563.24, 2,343.24 and 869.72 is: 1,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.24 : 2,343.24 = 869.72 : x
  2. Step 2: Convert to fraction form
    1,563.24/2,343.24 = 869.72/x
  3. Step 3: Cross multiply
    1,563.24x = 2,343.24 × 869.72
  4. Step 4: Simplify right side
    1,563.24x = 2,037,962.69
  5. Step 5: Solve for x
    x = 2,037,962.69/1,563.24
  6. Step 6: Final answer
    x = 1,303.68

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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.