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Finding the Fourth Proportional to 2,966.32, 4,454.48 and 2,848.56

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Solution

The fourth proportional to 2,966.32, 4,454.48 and 2,848.56 is: 4,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.32 : 4,454.48 = 2,848.56 : x
  2. Step 2: Convert to fraction form
    2,966.32/4,454.48 = 2,848.56/x
  3. Step 3: Cross multiply
    2,966.32x = 4,454.48 × 2,848.56
  4. Step 4: Simplify right side
    2,966.32x = 12,688,853.55
  5. Step 5: Solve for x
    x = 12,688,853.55/2,966.32
  6. Step 6: Final answer
    x = 4,277.64

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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.