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Finding the Fourth Proportional to 2,974, 4,459.38 and 1,328.90

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Solution

The fourth proportional to 2,974, 4,459.38 and 1,328.90 is: 1,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974 : 4,459.38 = 1,328.90 : x
  2. Step 2: Convert to fraction form
    2,974/4,459.38 = 1,328.90/x
  3. Step 3: Cross multiply
    2,974x = 4,459.38 × 1,328.90
  4. Step 4: Simplify right side
    2,974x = 5,926,070.08
  5. Step 5: Solve for x
    x = 5,926,070.08/2,974
  6. Step 6: Final answer
    x = 1,992.63

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