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Finding the Fourth Proportional to 1,449.61, 2,177.16 and 905.61

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Solution

The fourth proportional to 1,449.61, 2,177.16 and 905.61 is: 1,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.61 : 2,177.16 = 905.61 : x
  2. Step 2: Convert to fraction form
    1,449.61/2,177.16 = 905.61/x
  3. Step 3: Cross multiply
    1,449.61x = 2,177.16 × 905.61
  4. Step 4: Simplify right side
    1,449.61x = 1,971,657.87
  5. Step 5: Solve for x
    x = 1,971,657.87/1,449.61
  6. Step 6: Final answer
    x = 1,360.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.