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Finding the Fourth Proportional to 2,870.74, 3,963.97 and 1,810.22

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Solution

The fourth proportional to 2,870.74, 3,963.97 and 1,810.22 is: 2,499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.74 : 3,963.97 = 1,810.22 : x
  2. Step 2: Convert to fraction form
    2,870.74/3,963.97 = 1,810.22/x
  3. Step 3: Cross multiply
    2,870.74x = 3,963.97 × 1,810.22
  4. Step 4: Simplify right side
    2,870.74x = 7,175,640.22
  5. Step 5: Solve for x
    x = 7,175,640.22/2,870.74
  6. Step 6: Final answer
    x = 2,499.58

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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.