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Finding the Fourth Proportional to 1,223.48, 1,833.42 and 964.10

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Solution

The fourth proportional to 1,223.48, 1,833.42 and 964.10 is: 1,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.48 : 1,833.42 = 964.10 : x
  2. Step 2: Convert to fraction form
    1,223.48/1,833.42 = 964.10/x
  3. Step 3: Cross multiply
    1,223.48x = 1,833.42 × 964.10
  4. Step 4: Simplify right side
    1,223.48x = 1,767,600.22
  5. Step 5: Solve for x
    x = 1,767,600.22/1,223.48
  6. Step 6: Final answer
    x = 1,444.73

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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.