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Finding the Fourth Proportional to 1,917.48, 2,874.77 and 980.57

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Solution

The fourth proportional to 1,917.48, 2,874.77 and 980.57 is: 1,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.48 : 2,874.77 = 980.57 : x
  2. Step 2: Convert to fraction form
    1,917.48/2,874.77 = 980.57/x
  3. Step 3: Cross multiply
    1,917.48x = 2,874.77 × 980.57
  4. Step 4: Simplify right side
    1,917.48x = 2,818,901.30
  5. Step 5: Solve for x
    x = 2,818,901.30/1,917.48
  6. Step 6: Final answer
    x = 1,470.11

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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.