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Finding the Fourth Proportional to 2,085.98, 2,878.17 and 1,246.95

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Solution

The fourth proportional to 2,085.98, 2,878.17 and 1,246.95 is: 1,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.98 : 2,878.17 = 1,246.95 : x
  2. Step 2: Convert to fraction form
    2,085.98/2,878.17 = 1,246.95/x
  3. Step 3: Cross multiply
    2,085.98x = 2,878.17 × 1,246.95
  4. Step 4: Simplify right side
    2,085.98x = 3,588,934.08
  5. Step 5: Solve for x
    x = 3,588,934.08/2,085.98
  6. Step 6: Final answer
    x = 1,720.50

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