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Finding the Fourth Proportional to 3,441.60, 4,749.36 and 1,869.72

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Solution

The fourth proportional to 3,441.60, 4,749.36 and 1,869.72 is: 2,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.60 : 4,749.36 = 1,869.72 : x
  2. Step 2: Convert to fraction form
    3,441.60/4,749.36 = 1,869.72/x
  3. Step 3: Cross multiply
    3,441.60x = 4,749.36 × 1,869.72
  4. Step 4: Simplify right side
    3,441.60x = 8,879,973.38
  5. Step 5: Solve for x
    x = 8,879,973.38/3,441.60
  6. Step 6: Final answer
    x = 2,580.19

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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.