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Finding the Fourth Proportional to 2,807.90, 3,870.84 and 1,966

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Solution

The fourth proportional to 2,807.90, 3,870.84 and 1,966 is: 2,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.90 : 3,870.84 = 1,966 : x
  2. Step 2: Convert to fraction form
    2,807.90/3,870.84 = 1,966/x
  3. Step 3: Cross multiply
    2,807.90x = 3,870.84 × 1,966
  4. Step 4: Simplify right side
    2,807.90x = 7,610,071.44
  5. Step 5: Solve for x
    x = 7,610,071.44/2,807.90
  6. Step 6: Final answer
    x = 2,710.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.