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Finding the Fourth Proportional to 2,098.10, 2,896.62 and 1,390.16

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Solution

The fourth proportional to 2,098.10, 2,896.62 and 1,390.16 is: 1,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.10 : 2,896.62 = 1,390.16 : x
  2. Step 2: Convert to fraction form
    2,098.10/2,896.62 = 1,390.16/x
  3. Step 3: Cross multiply
    2,098.10x = 2,896.62 × 1,390.16
  4. Step 4: Simplify right side
    2,098.10x = 4,026,765.26
  5. Step 5: Solve for x
    x = 4,026,765.26/2,098.10
  6. Step 6: Final answer
    x = 1,919.24

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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.