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Finding the Fourth Proportional to 1,977.59, 2,966.37 and 882.71

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Solution

The fourth proportional to 1,977.59, 2,966.37 and 882.71 is: 1,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.59 : 2,966.37 = 882.71 : x
  2. Step 2: Convert to fraction form
    1,977.59/2,966.37 = 882.71/x
  3. Step 3: Cross multiply
    1,977.59x = 2,966.37 × 882.71
  4. Step 4: Simplify right side
    1,977.59x = 2,618,444.46
  5. Step 5: Solve for x
    x = 2,618,444.46/1,977.59
  6. Step 6: Final answer
    x = 1,324.06

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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.