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Finding the Fourth Proportional to 3,132.64, 4,697.57 and 940.95

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Solution

The fourth proportional to 3,132.64, 4,697.57 and 940.95 is: 1,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.64 : 4,697.57 = 940.95 : x
  2. Step 2: Convert to fraction form
    3,132.64/4,697.57 = 940.95/x
  3. Step 3: Cross multiply
    3,132.64x = 4,697.57 × 940.95
  4. Step 4: Simplify right side
    3,132.64x = 4,420,178.49
  5. Step 5: Solve for x
    x = 4,420,178.49/3,132.64
  6. Step 6: Final answer
    x = 1,411.01

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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.