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Finding the Fourth Proportional to 2,160.98, 3,219.71 and 2,019.53

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Solution

The fourth proportional to 2,160.98, 3,219.71 and 2,019.53 is: 3,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.98 : 3,219.71 = 2,019.53 : x
  2. Step 2: Convert to fraction form
    2,160.98/3,219.71 = 2,019.53/x
  3. Step 3: Cross multiply
    2,160.98x = 3,219.71 × 2,019.53
  4. Step 4: Simplify right side
    2,160.98x = 6,502,274.74
  5. Step 5: Solve for x
    x = 6,502,274.74/2,160.98
  6. Step 6: Final answer
    x = 3,008.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.