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Finding the Fourth Proportional to 2,347.77, 3,523.43 and 1,605.61

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Solution

The fourth proportional to 2,347.77, 3,523.43 and 1,605.61 is: 2,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.77 : 3,523.43 = 1,605.61 : x
  2. Step 2: Convert to fraction form
    2,347.77/3,523.43 = 1,605.61/x
  3. Step 3: Cross multiply
    2,347.77x = 3,523.43 × 1,605.61
  4. Step 4: Simplify right side
    2,347.77x = 5,657,249.65
  5. Step 5: Solve for x
    x = 5,657,249.65/2,347.77
  6. Step 6: Final answer
    x = 2,409.63

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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.