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Finding the Fourth Proportional to 1,614.40, 2,226.40 and 1,054.69

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Solution

The fourth proportional to 1,614.40, 2,226.40 and 1,054.69 is: 1,454.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.40 : 2,226.40 = 1,054.69 : x
  2. Step 2: Convert to fraction form
    1,614.40/2,226.40 = 1,054.69/x
  3. Step 3: Cross multiply
    1,614.40x = 2,226.40 × 1,054.69
  4. Step 4: Simplify right side
    1,614.40x = 2,348,161.82
  5. Step 5: Solve for x
    x = 2,348,161.82/1,614.40
  6. Step 6: Final answer
    x = 1,454.51

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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.