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Finding the Fourth Proportional to 1,608.23, 2,410.52 and 740.72

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Solution

The fourth proportional to 1,608.23, 2,410.52 and 740.72 is: 1,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.23 : 2,410.52 = 740.72 : x
  2. Step 2: Convert to fraction form
    1,608.23/2,410.52 = 740.72/x
  3. Step 3: Cross multiply
    1,608.23x = 2,410.52 × 740.72
  4. Step 4: Simplify right side
    1,608.23x = 1,785,522.70
  5. Step 5: Solve for x
    x = 1,785,522.70/1,608.23
  6. Step 6: Final answer
    x = 1,110.24

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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.