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Finding the Fourth Proportional to 2,870.66, 4,277.14 and 2,682.07

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Solution

The fourth proportional to 2,870.66, 4,277.14 and 2,682.07 is: 3,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.66 : 4,277.14 = 2,682.07 : x
  2. Step 2: Convert to fraction form
    2,870.66/4,277.14 = 2,682.07/x
  3. Step 3: Cross multiply
    2,870.66x = 4,277.14 × 2,682.07
  4. Step 4: Simplify right side
    2,870.66x = 11,471,567.49
  5. Step 5: Solve for x
    x = 11,471,567.49/2,870.66
  6. Step 6: Final answer
    x = 3,996.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.