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Finding the Fourth Proportional to 1,919.04, 2,878.38 and 823.20

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Solution

The fourth proportional to 1,919.04, 2,878.38 and 823.20 is: 1,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.04 : 2,878.38 = 823.20 : x
  2. Step 2: Convert to fraction form
    1,919.04/2,878.38 = 823.20/x
  3. Step 3: Cross multiply
    1,919.04x = 2,878.38 × 823.20
  4. Step 4: Simplify right side
    1,919.04x = 2,369,482.42
  5. Step 5: Solve for x
    x = 2,369,482.42/1,919.04
  6. Step 6: Final answer
    x = 1,234.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.