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Finding the Fourth Proportional to 2,701.97, 4,053.12 and 946.77

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Solution

The fourth proportional to 2,701.97, 4,053.12 and 946.77 is: 1,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.97 : 4,053.12 = 946.77 : x
  2. Step 2: Convert to fraction form
    2,701.97/4,053.12 = 946.77/x
  3. Step 3: Cross multiply
    2,701.97x = 4,053.12 × 946.77
  4. Step 4: Simplify right side
    2,701.97x = 3,837,372.42
  5. Step 5: Solve for x
    x = 3,837,372.42/2,701.97
  6. Step 6: Final answer
    x = 1,420.21

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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.