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Finding the Fourth Proportional to 2,574.45, 3,552.96 and 2,154.06

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Solution

The fourth proportional to 2,574.45, 3,552.96 and 2,154.06 is: 2,972.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.45 : 3,552.96 = 2,154.06 : x
  2. Step 2: Convert to fraction form
    2,574.45/3,552.96 = 2,154.06/x
  3. Step 3: Cross multiply
    2,574.45x = 3,552.96 × 2,154.06
  4. Step 4: Simplify right side
    2,574.45x = 7,653,289.02
  5. Step 5: Solve for x
    x = 7,653,289.02/2,574.45
  6. Step 6: Final answer
    x = 2,972.79

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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.