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Finding the Fourth Proportional to 2,854.48, 4,282.48 and 906.64

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Solution

The fourth proportional to 2,854.48, 4,282.48 and 906.64 is: 1,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.48 : 4,282.48 = 906.64 : x
  2. Step 2: Convert to fraction form
    2,854.48/4,282.48 = 906.64/x
  3. Step 3: Cross multiply
    2,854.48x = 4,282.48 × 906.64
  4. Step 4: Simplify right side
    2,854.48x = 3,882,667.67
  5. Step 5: Solve for x
    x = 3,882,667.67/2,854.48
  6. Step 6: Final answer
    x = 1,360.20

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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.