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Finding the Fourth Proportional to 1,504.54, 2,077.14 and 980.88

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Solution

The fourth proportional to 1,504.54, 2,077.14 and 980.88 is: 1,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.54 : 2,077.14 = 980.88 : x
  2. Step 2: Convert to fraction form
    1,504.54/2,077.14 = 980.88/x
  3. Step 3: Cross multiply
    1,504.54x = 2,077.14 × 980.88
  4. Step 4: Simplify right side
    1,504.54x = 2,037,425.08
  5. Step 5: Solve for x
    x = 2,037,425.08/1,504.54
  6. Step 6: Final answer
    x = 1,354.18

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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.