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Finding the Fourth Proportional to 3,114.48, 4,671.66 and 1,472.58

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Solution

The fourth proportional to 3,114.48, 4,671.66 and 1,472.58 is: 2,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.48 : 4,671.66 = 1,472.58 : x
  2. Step 2: Convert to fraction form
    3,114.48/4,671.66 = 1,472.58/x
  3. Step 3: Cross multiply
    3,114.48x = 4,671.66 × 1,472.58
  4. Step 4: Simplify right side
    3,114.48x = 6,879,393.08
  5. Step 5: Solve for x
    x = 6,879,393.08/3,114.48
  6. Step 6: Final answer
    x = 2,208.84

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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.