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Finding the Fourth Proportional to 2,468.88, 3,681.90 and 2,106

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Solution

The fourth proportional to 2,468.88, 3,681.90 and 2,106 is: 3,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.88 : 3,681.90 = 2,106 : x
  2. Step 2: Convert to fraction form
    2,468.88/3,681.90 = 2,106/x
  3. Step 3: Cross multiply
    2,468.88x = 3,681.90 × 2,106
  4. Step 4: Simplify right side
    2,468.88x = 7,754,081.40
  5. Step 5: Solve for x
    x = 7,754,081.40/2,468.88
  6. Step 6: Final answer
    x = 3,140.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.