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Finding the Fourth Proportional to 3,167.84, 4,752.12 and 1,436.24

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Solution

The fourth proportional to 3,167.84, 4,752.12 and 1,436.24 is: 2,154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.84 : 4,752.12 = 1,436.24 : x
  2. Step 2: Convert to fraction form
    3,167.84/4,752.12 = 1,436.24/x
  3. Step 3: Cross multiply
    3,167.84x = 4,752.12 × 1,436.24
  4. Step 4: Simplify right side
    3,167.84x = 6,825,184.83
  5. Step 5: Solve for x
    x = 6,825,184.83/3,167.84
  6. Step 6: Final answer
    x = 2,154.52

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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.