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Finding the Fourth Proportional to 1,533.24, 2,301.02 and 1,123.44

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Solution

The fourth proportional to 1,533.24, 2,301.02 and 1,123.44 is: 1,686.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.24 : 2,301.02 = 1,123.44 : x
  2. Step 2: Convert to fraction form
    1,533.24/2,301.02 = 1,123.44/x
  3. Step 3: Cross multiply
    1,533.24x = 2,301.02 × 1,123.44
  4. Step 4: Simplify right side
    1,533.24x = 2,585,057.91
  5. Step 5: Solve for x
    x = 2,585,057.91/1,533.24
  6. Step 6: Final answer
    x = 1,686.01

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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.