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Finding the Fourth Proportional to 2,047.07, 3,071.10 and 951.20

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Solution

The fourth proportional to 2,047.07, 3,071.10 and 951.20 is: 1,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.07 : 3,071.10 = 951.20 : x
  2. Step 2: Convert to fraction form
    2,047.07/3,071.10 = 951.20/x
  3. Step 3: Cross multiply
    2,047.07x = 3,071.10 × 951.20
  4. Step 4: Simplify right side
    2,047.07x = 2,921,230.32
  5. Step 5: Solve for x
    x = 2,921,230.32/2,047.07
  6. Step 6: Final answer
    x = 1,427.03

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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.