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Finding the Fourth Proportional to 2,358.75, 3,539.82 and 1,902.06

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Solution

The fourth proportional to 2,358.75, 3,539.82 and 1,902.06 is: 2,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.75 : 3,539.82 = 1,902.06 : x
  2. Step 2: Convert to fraction form
    2,358.75/3,539.82 = 1,902.06/x
  3. Step 3: Cross multiply
    2,358.75x = 3,539.82 × 1,902.06
  4. Step 4: Simplify right side
    2,358.75x = 6,732,950.03
  5. Step 5: Solve for x
    x = 6,732,950.03/2,358.75
  6. Step 6: Final answer
    x = 2,854.46

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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.