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Finding the Fourth Proportional to 2,701.45, 4,053.26 and 970.21

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Solution

The fourth proportional to 2,701.45, 4,053.26 and 970.21 is: 1,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.45 : 4,053.26 = 970.21 : x
  2. Step 2: Convert to fraction form
    2,701.45/4,053.26 = 970.21/x
  3. Step 3: Cross multiply
    2,701.45x = 4,053.26 × 970.21
  4. Step 4: Simplify right side
    2,701.45x = 3,932,515.42
  5. Step 5: Solve for x
    x = 3,932,515.42/2,701.45
  6. Step 6: Final answer
    x = 1,455.70

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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.