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Finding the Fourth Proportional to 2,969.13, 4,098.69 and 2,088.21

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Solution

The fourth proportional to 2,969.13, 4,098.69 and 2,088.21 is: 2,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.13 : 4,098.69 = 2,088.21 : x
  2. Step 2: Convert to fraction form
    2,969.13/4,098.69 = 2,088.21/x
  3. Step 3: Cross multiply
    2,969.13x = 4,098.69 × 2,088.21
  4. Step 4: Simplify right side
    2,969.13x = 8,558,925.44
  5. Step 5: Solve for x
    x = 8,558,925.44/2,969.13
  6. Step 6: Final answer
    x = 2,882.64

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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.