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Finding the Fourth Proportional to 3,154.68, 4,734.95 and 1,595.78

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Solution

The fourth proportional to 3,154.68, 4,734.95 and 1,595.78 is: 2,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.68 : 4,734.95 = 1,595.78 : x
  2. Step 2: Convert to fraction form
    3,154.68/4,734.95 = 1,595.78/x
  3. Step 3: Cross multiply
    3,154.68x = 4,734.95 × 1,595.78
  4. Step 4: Simplify right side
    3,154.68x = 7,555,948.35
  5. Step 5: Solve for x
    x = 7,555,948.35/3,154.68
  6. Step 6: Final answer
    x = 2,395.16

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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.