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Finding the Fourth Proportional to 2,415.62, 3,334.30 and 1,574.84

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Solution

The fourth proportional to 2,415.62, 3,334.30 and 1,574.84 is: 2,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.62 : 3,334.30 = 1,574.84 : x
  2. Step 2: Convert to fraction form
    2,415.62/3,334.30 = 1,574.84/x
  3. Step 3: Cross multiply
    2,415.62x = 3,334.30 × 1,574.84
  4. Step 4: Simplify right side
    2,415.62x = 5,250,993.41
  5. Step 5: Solve for x
    x = 5,250,993.41/2,415.62
  6. Step 6: Final answer
    x = 2,173.76

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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.