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Finding the Fourth Proportional to 2,535.62, 3,803.95 and 975.62

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Solution

The fourth proportional to 2,535.62, 3,803.95 and 975.62 is: 1,463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.62 : 3,803.95 = 975.62 : x
  2. Step 2: Convert to fraction form
    2,535.62/3,803.95 = 975.62/x
  3. Step 3: Cross multiply
    2,535.62x = 3,803.95 × 975.62
  4. Step 4: Simplify right side
    2,535.62x = 3,711,209.70
  5. Step 5: Solve for x
    x = 3,711,209.70/2,535.62
  6. Step 6: Final answer
    x = 1,463.63

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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.