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Finding the Fourth Proportional to 3,397.02, 4,689.03 and 2,140.18

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Solution

The fourth proportional to 3,397.02, 4,689.03 and 2,140.18 is: 2,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.02 : 4,689.03 = 2,140.18 : x
  2. Step 2: Convert to fraction form
    3,397.02/4,689.03 = 2,140.18/x
  3. Step 3: Cross multiply
    3,397.02x = 4,689.03 × 2,140.18
  4. Step 4: Simplify right side
    3,397.02x = 10,035,364.53
  5. Step 5: Solve for x
    x = 10,035,364.53/3,397.02
  6. Step 6: Final answer
    x = 2,954.17

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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.