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Finding the Fourth Proportional to 2,085.70, 2,878.23 and 1,141.49

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Solution

The fourth proportional to 2,085.70, 2,878.23 and 1,141.49 is: 1,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.70 : 2,878.23 = 1,141.49 : x
  2. Step 2: Convert to fraction form
    2,085.70/2,878.23 = 1,141.49/x
  3. Step 3: Cross multiply
    2,085.70x = 2,878.23 × 1,141.49
  4. Step 4: Simplify right side
    2,085.70x = 3,285,470.76
  5. Step 5: Solve for x
    x = 3,285,470.76/2,085.70
  6. Step 6: Final answer
    x = 1,575.24

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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.