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Finding the Fourth Proportional to 2,154.87, 2,972.80 and 1,357.90

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Solution

The fourth proportional to 2,154.87, 2,972.80 and 1,357.90 is: 1,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.87 : 2,972.80 = 1,357.90 : x
  2. Step 2: Convert to fraction form
    2,154.87/2,972.80 = 1,357.90/x
  3. Step 3: Cross multiply
    2,154.87x = 2,972.80 × 1,357.90
  4. Step 4: Simplify right side
    2,154.87x = 4,036,765.12
  5. Step 5: Solve for x
    x = 4,036,765.12/2,154.87
  6. Step 6: Final answer
    x = 1,873.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.