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Finding the Fourth Proportional to 1,576.98, 2,177.28 and 980.15

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Solution

The fourth proportional to 1,576.98, 2,177.28 and 980.15 is: 1,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.98 : 2,177.28 = 980.15 : x
  2. Step 2: Convert to fraction form
    1,576.98/2,177.28 = 980.15/x
  3. Step 3: Cross multiply
    1,576.98x = 2,177.28 × 980.15
  4. Step 4: Simplify right side
    1,576.98x = 2,134,050.11
  5. Step 5: Solve for x
    x = 2,134,050.11/1,576.98
  6. Step 6: Final answer
    x = 1,353.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.