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Finding the Fourth Proportional to 2,866.71, 3,956.73 and 1,870.26

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Solution

The fourth proportional to 2,866.71, 3,956.73 and 1,870.26 is: 2,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.71 : 3,956.73 = 1,870.26 : x
  2. Step 2: Convert to fraction form
    2,866.71/3,956.73 = 1,870.26/x
  3. Step 3: Cross multiply
    2,866.71x = 3,956.73 × 1,870.26
  4. Step 4: Simplify right side
    2,866.71x = 7,400,113.85
  5. Step 5: Solve for x
    x = 7,400,113.85/2,866.71
  6. Step 6: Final answer
    x = 2,581.40

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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.