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Finding the Fourth Proportional to 2,902.06, 4,353.72 and 954.19

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Solution

The fourth proportional to 2,902.06, 4,353.72 and 954.19 is: 1,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.06 : 4,353.72 = 954.19 : x
  2. Step 2: Convert to fraction form
    2,902.06/4,353.72 = 954.19/x
  3. Step 3: Cross multiply
    2,902.06x = 4,353.72 × 954.19
  4. Step 4: Simplify right side
    2,902.06x = 4,154,276.09
  5. Step 5: Solve for x
    x = 4,154,276.09/2,902.06
  6. Step 6: Final answer
    x = 1,431.49

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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.