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Finding the Fourth Proportional to 3,441.92, 4,749.86 and 1,870.01

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Solution

The fourth proportional to 3,441.92, 4,749.86 and 1,870.01 is: 2,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.92 : 4,749.86 = 1,870.01 : x
  2. Step 2: Convert to fraction form
    3,441.92/4,749.86 = 1,870.01/x
  3. Step 3: Cross multiply
    3,441.92x = 4,749.86 × 1,870.01
  4. Step 4: Simplify right side
    3,441.92x = 8,882,252.60
  5. Step 5: Solve for x
    x = 8,882,252.60/3,441.92
  6. Step 6: Final answer
    x = 2,580.61

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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.