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Finding the Fourth Proportional to 2,414.04, 3,623.10 and 954.20

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Solution

The fourth proportional to 2,414.04, 3,623.10 and 954.20 is: 1,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.04 : 3,623.10 = 954.20 : x
  2. Step 2: Convert to fraction form
    2,414.04/3,623.10 = 954.20/x
  3. Step 3: Cross multiply
    2,414.04x = 3,623.10 × 954.20
  4. Step 4: Simplify right side
    2,414.04x = 3,457,162.02
  5. Step 5: Solve for x
    x = 3,457,162.02/2,414.04
  6. Step 6: Final answer
    x = 1,432.11

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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.