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Finding the Fourth Proportional to 3,278.40, 4,922.40 and 1,985.76

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Solution

The fourth proportional to 3,278.40, 4,922.40 and 1,985.76 is: 2,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.40 : 4,922.40 = 1,985.76 : x
  2. Step 2: Convert to fraction form
    3,278.40/4,922.40 = 1,985.76/x
  3. Step 3: Cross multiply
    3,278.40x = 4,922.40 × 1,985.76
  4. Step 4: Simplify right side
    3,278.40x = 9,774,705.02
  5. Step 5: Solve for x
    x = 9,774,705.02/3,278.40
  6. Step 6: Final answer
    x = 2,981.55

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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.