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Finding the Fourth Proportional to 2,948.95, 4,423.52 and 974.62

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Solution

The fourth proportional to 2,948.95, 4,423.52 and 974.62 is: 1,461.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.95 : 4,423.52 = 974.62 : x
  2. Step 2: Convert to fraction form
    2,948.95/4,423.52 = 974.62/x
  3. Step 3: Cross multiply
    2,948.95x = 4,423.52 × 974.62
  4. Step 4: Simplify right side
    2,948.95x = 4,311,251.06
  5. Step 5: Solve for x
    x = 4,311,251.06/2,948.95
  6. Step 6: Final answer
    x = 1,461.96

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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.