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Finding the Fourth Proportional to 2,870.06, 3,956.19 and 1,874.84

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Solution

The fourth proportional to 2,870.06, 3,956.19 and 1,874.84 is: 2,584.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.06 : 3,956.19 = 1,874.84 : x
  2. Step 2: Convert to fraction form
    2,870.06/3,956.19 = 1,874.84/x
  3. Step 3: Cross multiply
    2,870.06x = 3,956.19 × 1,874.84
  4. Step 4: Simplify right side
    2,870.06x = 7,417,223.26
  5. Step 5: Solve for x
    x = 7,417,223.26/2,870.06
  6. Step 6: Final answer
    x = 2,584.34

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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.