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Finding the Fourth Proportional to 1,947.11, 2,920.73 and 972.86

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Solution

The fourth proportional to 1,947.11, 2,920.73 and 972.86 is: 1,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.11 : 2,920.73 = 972.86 : x
  2. Step 2: Convert to fraction form
    1,947.11/2,920.73 = 972.86/x
  3. Step 3: Cross multiply
    1,947.11x = 2,920.73 × 972.86
  4. Step 4: Simplify right side
    1,947.11x = 2,841,441.92
  5. Step 5: Solve for x
    x = 2,841,441.92/1,947.11
  6. Step 6: Final answer
    x = 1,459.32

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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.