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Finding the Fourth Proportional to 2,701.72, 4,051.74 and 970.12

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Solution

The fourth proportional to 2,701.72, 4,051.74 and 970.12 is: 1,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.72 : 4,051.74 = 970.12 : x
  2. Step 2: Convert to fraction form
    2,701.72/4,051.74 = 970.12/x
  3. Step 3: Cross multiply
    2,701.72x = 4,051.74 × 970.12
  4. Step 4: Simplify right side
    2,701.72x = 3,930,674.01
  5. Step 5: Solve for x
    x = 3,930,674.01/2,701.72
  6. Step 6: Final answer
    x = 1,454.88

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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.