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Finding the Fourth Proportional to 2,154.69, 2,972.54 and 1,357.53

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Solution

The fourth proportional to 2,154.69, 2,972.54 and 1,357.53 is: 1,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.69 : 2,972.54 = 1,357.53 : x
  2. Step 2: Convert to fraction form
    2,154.69/2,972.54 = 1,357.53/x
  3. Step 3: Cross multiply
    2,154.69x = 2,972.54 × 1,357.53
  4. Step 4: Simplify right side
    2,154.69x = 4,035,305.44
  5. Step 5: Solve for x
    x = 4,035,305.44/2,154.69
  6. Step 6: Final answer
    x = 1,872.80

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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.