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Finding the Fourth Proportional to 3,127.42, 4,315.80 and 1,885.42

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Solution

The fourth proportional to 3,127.42, 4,315.80 and 1,885.42 is: 2,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.42 : 4,315.80 = 1,885.42 : x
  2. Step 2: Convert to fraction form
    3,127.42/4,315.80 = 1,885.42/x
  3. Step 3: Cross multiply
    3,127.42x = 4,315.80 × 1,885.42
  4. Step 4: Simplify right side
    3,127.42x = 8,137,095.64
  5. Step 5: Solve for x
    x = 8,137,095.64/3,127.42
  6. Step 6: Final answer
    x = 2,601.86

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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.