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Finding the Fourth Proportional to 2,098.79, 2,896.29 and 1,435.62

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Solution

The fourth proportional to 2,098.79, 2,896.29 and 1,435.62 is: 1,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.79 : 2,896.29 = 1,435.62 : x
  2. Step 2: Convert to fraction form
    2,098.79/2,896.29 = 1,435.62/x
  3. Step 3: Cross multiply
    2,098.79x = 2,896.29 × 1,435.62
  4. Step 4: Simplify right side
    2,098.79x = 4,157,966.42
  5. Step 5: Solve for x
    x = 4,157,966.42/2,098.79
  6. Step 6: Final answer
    x = 1,981.13

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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.