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Finding the Fourth Proportional to 2,969.64, 4,098.06 and 2,120.45

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Solution

The fourth proportional to 2,969.64, 4,098.06 and 2,120.45 is: 2,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.64 : 4,098.06 = 2,120.45 : x
  2. Step 2: Convert to fraction form
    2,969.64/4,098.06 = 2,120.45/x
  3. Step 3: Cross multiply
    2,969.64x = 4,098.06 × 2,120.45
  4. Step 4: Simplify right side
    2,969.64x = 8,689,710.84
  5. Step 5: Solve for x
    x = 8,689,710.84/2,969.64
  6. Step 6: Final answer
    x = 2,926.18

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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.