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Finding the Fourth Proportional to 2,011.48, 3,014.52 and 1,578.76

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Solution

The fourth proportional to 2,011.48, 3,014.52 and 1,578.76 is: 2,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.48 : 3,014.52 = 1,578.76 : x
  2. Step 2: Convert to fraction form
    2,011.48/3,014.52 = 1,578.76/x
  3. Step 3: Cross multiply
    2,011.48x = 3,014.52 × 1,578.76
  4. Step 4: Simplify right side
    2,011.48x = 4,759,203.60
  5. Step 5: Solve for x
    x = 4,759,203.60/2,011.48
  6. Step 6: Final answer
    x = 2,366.02

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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.