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Finding the Fourth Proportional to 2,605.14, 3,908.52 and 1,045.80

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Solution

The fourth proportional to 2,605.14, 3,908.52 and 1,045.80 is: 1,569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.14 : 3,908.52 = 1,045.80 : x
  2. Step 2: Convert to fraction form
    2,605.14/3,908.52 = 1,045.80/x
  3. Step 3: Cross multiply
    2,605.14x = 3,908.52 × 1,045.80
  4. Step 4: Simplify right side
    2,605.14x = 4,087,530.22
  5. Step 5: Solve for x
    x = 4,087,530.22/2,605.14
  6. Step 6: Final answer
    x = 1,569.03

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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.