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Finding the Fourth Proportional to 2,214.68, 3,055.92 and 1,283

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Solution

The fourth proportional to 2,214.68, 3,055.92 and 1,283 is: 1,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.68 : 3,055.92 = 1,283 : x
  2. Step 2: Convert to fraction form
    2,214.68/3,055.92 = 1,283/x
  3. Step 3: Cross multiply
    2,214.68x = 3,055.92 × 1,283
  4. Step 4: Simplify right side
    2,214.68x = 3,920,745.36
  5. Step 5: Solve for x
    x = 3,920,745.36/2,214.68
  6. Step 6: Final answer
    x = 1,770.34

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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.