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Finding the Fourth Proportional to 4,014.84, 6,023.15 and 1,203.57

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Solution

The fourth proportional to 4,014.84, 6,023.15 and 1,203.57 is: 1,805.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.84 : 6,023.15 = 1,203.57 : x
  2. Step 2: Convert to fraction form
    4,014.84/6,023.15 = 1,203.57/x
  3. Step 3: Cross multiply
    4,014.84x = 6,023.15 × 1,203.57
  4. Step 4: Simplify right side
    4,014.84x = 7,249,255.54
  5. Step 5: Solve for x
    x = 7,249,255.54/4,014.84
  6. Step 6: Final answer
    x = 1,805.61

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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.