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Finding the Fourth Proportional to 2,351.59, 3,538.68 and 1,938.10

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Solution

The fourth proportional to 2,351.59, 3,538.68 and 1,938.10 is: 2,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.59 : 3,538.68 = 1,938.10 : x
  2. Step 2: Convert to fraction form
    2,351.59/3,538.68 = 1,938.10/x
  3. Step 3: Cross multiply
    2,351.59x = 3,538.68 × 1,938.10
  4. Step 4: Simplify right side
    2,351.59x = 6,858,315.71
  5. Step 5: Solve for x
    x = 6,858,315.71/2,351.59
  6. Step 6: Final answer
    x = 2,916.46

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