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Finding the Fourth Proportional to 3,207.42, 4,424.98 and 1,862.80

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Solution

The fourth proportional to 3,207.42, 4,424.98 and 1,862.80 is: 2,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.42 : 4,424.98 = 1,862.80 : x
  2. Step 2: Convert to fraction form
    3,207.42/4,424.98 = 1,862.80/x
  3. Step 3: Cross multiply
    3,207.42x = 4,424.98 × 1,862.80
  4. Step 4: Simplify right side
    3,207.42x = 8,242,840.52
  5. Step 5: Solve for x
    x = 8,242,840.52/3,207.42
  6. Step 6: Final answer
    x = 2,569.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.