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Finding the Fourth Proportional to 2,878.32, 3,967.50 and 2,037.20

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Solution

The fourth proportional to 2,878.32, 3,967.50 and 2,037.20 is: 2,808.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.32 : 3,967.50 = 2,037.20 : x
  2. Step 2: Convert to fraction form
    2,878.32/3,967.50 = 2,037.20/x
  3. Step 3: Cross multiply
    2,878.32x = 3,967.50 × 2,037.20
  4. Step 4: Simplify right side
    2,878.32x = 8,082,591
  5. Step 5: Solve for x
    x = 8,082,591/2,878.32
  6. Step 6: Final answer
    x = 2,808.09

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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.