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Finding the Fourth Proportional to 2,552.70, 3,518.70 and 1,805.06

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Solution

The fourth proportional to 2,552.70, 3,518.70 and 1,805.06 is: 2,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.70 : 3,518.70 = 1,805.06 : x
  2. Step 2: Convert to fraction form
    2,552.70/3,518.70 = 1,805.06/x
  3. Step 3: Cross multiply
    2,552.70x = 3,518.70 × 1,805.06
  4. Step 4: Simplify right side
    2,552.70x = 6,351,464.62
  5. Step 5: Solve for x
    x = 6,351,464.62/2,552.70
  6. Step 6: Final answer
    x = 2,488.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.