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Finding the Fourth Proportional to 4,502.80, 6,753.79 and 1,580.93

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Solution

The fourth proportional to 4,502.80, 6,753.79 and 1,580.93 is: 2,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.80 : 6,753.79 = 1,580.93 : x
  2. Step 2: Convert to fraction form
    4,502.80/6,753.79 = 1,580.93/x
  3. Step 3: Cross multiply
    4,502.80x = 6,753.79 × 1,580.93
  4. Step 4: Simplify right side
    4,502.80x = 10,677,269.22
  5. Step 5: Solve for x
    x = 10,677,269.22/4,502.80
  6. Step 6: Final answer
    x = 2,371.25

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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.