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Finding the Fourth Proportional to 1,614.61, 2,226.90 and 1,083.32

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Solution

The fourth proportional to 1,614.61, 2,226.90 and 1,083.32 is: 1,494.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.61 : 2,226.90 = 1,083.32 : x
  2. Step 2: Convert to fraction form
    1,614.61/2,226.90 = 1,083.32/x
  3. Step 3: Cross multiply
    1,614.61x = 2,226.90 × 1,083.32
  4. Step 4: Simplify right side
    1,614.61x = 2,412,445.31
  5. Step 5: Solve for x
    x = 2,412,445.31/1,614.61
  6. Step 6: Final answer
    x = 1,494.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.