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Finding the Fourth Proportional to 2,098.59, 3,160.38 and 1,827.95

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Solution

The fourth proportional to 2,098.59, 3,160.38 and 1,827.95 is: 2,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.59 : 3,160.38 = 1,827.95 : x
  2. Step 2: Convert to fraction form
    2,098.59/3,160.38 = 1,827.95/x
  3. Step 3: Cross multiply
    2,098.59x = 3,160.38 × 1,827.95
  4. Step 4: Simplify right side
    2,098.59x = 5,776,999.58
  5. Step 5: Solve for x
    x = 5,776,999.58/2,098.59
  6. Step 6: Final answer
    x = 2,752.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.