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Finding the Fourth Proportional to 2,509.17, 3,760.98 and 1,890.87

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Solution

The fourth proportional to 2,509.17, 3,760.98 and 1,890.87 is: 2,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.17 : 3,760.98 = 1,890.87 : x
  2. Step 2: Convert to fraction form
    2,509.17/3,760.98 = 1,890.87/x
  3. Step 3: Cross multiply
    2,509.17x = 3,760.98 × 1,890.87
  4. Step 4: Simplify right side
    2,509.17x = 7,111,524.25
  5. Step 5: Solve for x
    x = 7,111,524.25/2,509.17
  6. Step 6: Final answer
    x = 2,834.21

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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.