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Finding the Fourth Proportional to 2,870.44, 3,963.10 and 2,206.08

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Solution

The fourth proportional to 2,870.44, 3,963.10 and 2,206.08 is: 3,045.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.44 : 3,963.10 = 2,206.08 : x
  2. Step 2: Convert to fraction form
    2,870.44/3,963.10 = 2,206.08/x
  3. Step 3: Cross multiply
    2,870.44x = 3,963.10 × 2,206.08
  4. Step 4: Simplify right side
    2,870.44x = 8,742,915.65
  5. Step 5: Solve for x
    x = 8,742,915.65/2,870.44
  6. Step 6: Final answer
    x = 3,045.85

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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.