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Finding the Fourth Proportional to 4,107.60, 6,160.80 and 1,509.96

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Solution

The fourth proportional to 4,107.60, 6,160.80 and 1,509.96 is: 2,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.60 : 6,160.80 = 1,509.96 : x
  2. Step 2: Convert to fraction form
    4,107.60/6,160.80 = 1,509.96/x
  3. Step 3: Cross multiply
    4,107.60x = 6,160.80 × 1,509.96
  4. Step 4: Simplify right side
    4,107.60x = 9,302,561.57
  5. Step 5: Solve for x
    x = 9,302,561.57/4,107.60
  6. Step 6: Final answer
    x = 2,264.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.