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Finding the Fourth Proportional to 2,172.42, 2,998 and 1,228.02

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Solution

The fourth proportional to 2,172.42, 2,998 and 1,228.02 is: 1,694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.42 : 2,998 = 1,228.02 : x
  2. Step 2: Convert to fraction form
    2,172.42/2,998 = 1,228.02/x
  3. Step 3: Cross multiply
    2,172.42x = 2,998 × 1,228.02
  4. Step 4: Simplify right side
    2,172.42x = 3,681,603.96
  5. Step 5: Solve for x
    x = 3,681,603.96/2,172.42
  6. Step 6: Final answer
    x = 1,694.70

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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.