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Finding the Fourth Proportional to 2,927.40, 4,039.64 and 1,600.84

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Solution

The fourth proportional to 2,927.40, 4,039.64 and 1,600.84 is: 2,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.40 : 4,039.64 = 1,600.84 : x
  2. Step 2: Convert to fraction form
    2,927.40/4,039.64 = 1,600.84/x
  3. Step 3: Cross multiply
    2,927.40x = 4,039.64 × 1,600.84
  4. Step 4: Simplify right side
    2,927.40x = 6,466,817.30
  5. Step 5: Solve for x
    x = 6,466,817.30/2,927.40
  6. Step 6: Final answer
    x = 2,209.07

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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.