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Finding the Fourth Proportional to 3,113.34, 4,671.37 and 1,033.66

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Solution

The fourth proportional to 3,113.34, 4,671.37 and 1,033.66 is: 1,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.34 : 4,671.37 = 1,033.66 : x
  2. Step 2: Convert to fraction form
    3,113.34/4,671.37 = 1,033.66/x
  3. Step 3: Cross multiply
    3,113.34x = 4,671.37 × 1,033.66
  4. Step 4: Simplify right side
    3,113.34x = 4,828,615.45
  5. Step 5: Solve for x
    x = 4,828,615.45/3,113.34
  6. Step 6: Final answer
    x = 1,550.95

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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.