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Finding the Fourth Proportional to 3,512.77, 4,848.63 and 2,078.46

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Solution

The fourth proportional to 3,512.77, 4,848.63 and 2,078.46 is: 2,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.77 : 4,848.63 = 2,078.46 : x
  2. Step 2: Convert to fraction form
    3,512.77/4,848.63 = 2,078.46/x
  3. Step 3: Cross multiply
    3,512.77x = 4,848.63 × 2,078.46
  4. Step 4: Simplify right side
    3,512.77x = 10,077,675.72
  5. Step 5: Solve for x
    x = 10,077,675.72/3,512.77
  6. Step 6: Final answer
    x = 2,868.87

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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.