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Finding the Fourth Proportional to 2,098.95, 2,896.45 and 1,214.65

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Solution

The fourth proportional to 2,098.95, 2,896.45 and 1,214.65 is: 1,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.95 : 2,896.45 = 1,214.65 : x
  2. Step 2: Convert to fraction form
    2,098.95/2,896.45 = 1,214.65/x
  3. Step 3: Cross multiply
    2,098.95x = 2,896.45 × 1,214.65
  4. Step 4: Simplify right side
    2,098.95x = 3,518,172.99
  5. Step 5: Solve for x
    x = 3,518,172.99/2,098.95
  6. Step 6: Final answer
    x = 1,676.16

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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.