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Finding the Fourth Proportional to 2,963.74, 4,445.46 and 883.76

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Solution

The fourth proportional to 2,963.74, 4,445.46 and 883.76 is: 1,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.74 : 4,445.46 = 883.76 : x
  2. Step 2: Convert to fraction form
    2,963.74/4,445.46 = 883.76/x
  3. Step 3: Cross multiply
    2,963.74x = 4,445.46 × 883.76
  4. Step 4: Simplify right side
    2,963.74x = 3,928,720.02
  5. Step 5: Solve for x
    x = 3,928,720.02/2,963.74
  6. Step 6: Final answer
    x = 1,325.60

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1.5x scale

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.