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Finding the Fourth Proportional to 2,153.67, 2,972.32 and 1,209.46

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Solution

The fourth proportional to 2,153.67, 2,972.32 and 1,209.46 is: 1,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.67 : 2,972.32 = 1,209.46 : x
  2. Step 2: Convert to fraction form
    2,153.67/2,972.32 = 1,209.46/x
  3. Step 3: Cross multiply
    2,153.67x = 2,972.32 × 1,209.46
  4. Step 4: Simplify right side
    2,153.67x = 3,594,909.03
  5. Step 5: Solve for x
    x = 3,594,909.03/2,153.67
  6. Step 6: Final answer
    x = 1,669.20

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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.