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Finding the Fourth Proportional to 3,302.57, 4,557.52 and 1,810.46

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Solution

The fourth proportional to 3,302.57, 4,557.52 and 1,810.46 is: 2,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.57 : 4,557.52 = 1,810.46 : x
  2. Step 2: Convert to fraction form
    3,302.57/4,557.52 = 1,810.46/x
  3. Step 3: Cross multiply
    3,302.57x = 4,557.52 × 1,810.46
  4. Step 4: Simplify right side
    3,302.57x = 8,251,221.32
  5. Step 5: Solve for x
    x = 8,251,221.32/3,302.57
  6. Step 6: Final answer
    x = 2,498.42

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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.