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Finding the Fourth Proportional to 2,076.04, 3,114.27 and 980.11

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Solution

The fourth proportional to 2,076.04, 3,114.27 and 980.11 is: 1,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.04 : 3,114.27 = 980.11 : x
  2. Step 2: Convert to fraction form
    2,076.04/3,114.27 = 980.11/x
  3. Step 3: Cross multiply
    2,076.04x = 3,114.27 × 980.11
  4. Step 4: Simplify right side
    2,076.04x = 3,052,327.17
  5. Step 5: Solve for x
    x = 3,052,327.17/2,076.04
  6. Step 6: Final answer
    x = 1,470.26

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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.