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Finding the Fourth Proportional to 2,605.65, 3,908.40 and 1,045.17

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Solution

The fourth proportional to 2,605.65, 3,908.40 and 1,045.17 is: 1,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.65 : 3,908.40 = 1,045.17 : x
  2. Step 2: Convert to fraction form
    2,605.65/3,908.40 = 1,045.17/x
  3. Step 3: Cross multiply
    2,605.65x = 3,908.40 × 1,045.17
  4. Step 4: Simplify right side
    2,605.65x = 4,084,942.43
  5. Step 5: Solve for x
    x = 4,084,942.43/2,605.65
  6. Step 6: Final answer
    x = 1,567.72

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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.