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Finding the Fourth Proportional to 2,817.65, 3,888.18 and 1,698.95

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Solution

The fourth proportional to 2,817.65, 3,888.18 and 1,698.95 is: 2,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.65 : 3,888.18 = 1,698.95 : x
  2. Step 2: Convert to fraction form
    2,817.65/3,888.18 = 1,698.95/x
  3. Step 3: Cross multiply
    2,817.65x = 3,888.18 × 1,698.95
  4. Step 4: Simplify right side
    2,817.65x = 6,605,803.97
  5. Step 5: Solve for x
    x = 6,605,803.97/2,817.65
  6. Step 6: Final answer
    x = 2,344.44

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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.