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Finding the Fourth Proportional to 2,354.67, 3,527.45 and 2,113.19

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Solution

The fourth proportional to 2,354.67, 3,527.45 and 2,113.19 is: 3,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.67 : 3,527.45 = 2,113.19 : x
  2. Step 2: Convert to fraction form
    2,354.67/3,527.45 = 2,113.19/x
  3. Step 3: Cross multiply
    2,354.67x = 3,527.45 × 2,113.19
  4. Step 4: Simplify right side
    2,354.67x = 7,454,165.01
  5. Step 5: Solve for x
    x = 7,454,165.01/2,354.67
  6. Step 6: Final answer
    x = 3,165.69

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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.