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Finding the Fourth Proportional to 1,977.81, 2,966.67 and 591.15

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Solution

The fourth proportional to 1,977.81, 2,966.67 and 591.15 is: 886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.81 : 2,966.67 = 591.15 : x
  2. Step 2: Convert to fraction form
    1,977.81/2,966.67 = 591.15/x
  3. Step 3: Cross multiply
    1,977.81x = 2,966.67 × 591.15
  4. Step 4: Simplify right side
    1,977.81x = 1,753,746.97
  5. Step 5: Solve for x
    x = 1,753,746.97/1,977.81
  6. Step 6: Final answer
    x = 886.71

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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.