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Finding the Fourth Proportional to 2,098.08, 2,890.71 and 1,537.92

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Solution

The fourth proportional to 2,098.08, 2,890.71 and 1,537.92 is: 2,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.08 : 2,890.71 = 1,537.92 : x
  2. Step 2: Convert to fraction form
    2,098.08/2,890.71 = 1,537.92/x
  3. Step 3: Cross multiply
    2,098.08x = 2,890.71 × 1,537.92
  4. Step 4: Simplify right side
    2,098.08x = 4,445,680.72
  5. Step 5: Solve for x
    x = 4,445,680.72/2,098.08
  6. Step 6: Final answer
    x = 2,118.93

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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.