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Finding the Fourth Proportional to 2,014.84, 3,023.14 and 1,041.64

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Solution

The fourth proportional to 2,014.84, 3,023.14 and 1,041.64 is: 1,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.84 : 3,023.14 = 1,041.64 : x
  2. Step 2: Convert to fraction form
    2,014.84/3,023.14 = 1,041.64/x
  3. Step 3: Cross multiply
    2,014.84x = 3,023.14 × 1,041.64
  4. Step 4: Simplify right side
    2,014.84x = 3,149,023.55
  5. Step 5: Solve for x
    x = 3,149,023.55/2,014.84
  6. Step 6: Final answer
    x = 1,562.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.