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Finding the Fourth Proportional to 2,661.84, 3,674 and 1,600.24

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Solution

The fourth proportional to 2,661.84, 3,674 and 1,600.24 is: 2,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.84 : 3,674 = 1,600.24 : x
  2. Step 2: Convert to fraction form
    2,661.84/3,674 = 1,600.24/x
  3. Step 3: Cross multiply
    2,661.84x = 3,674 × 1,600.24
  4. Step 4: Simplify right side
    2,661.84x = 5,879,281.76
  5. Step 5: Solve for x
    x = 5,879,281.76/2,661.84
  6. Step 6: Final answer
    x = 2,208.73

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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.