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Finding the Fourth Proportional to 3,166.18, 4,746.36 and 1,216.91

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Solution

The fourth proportional to 3,166.18, 4,746.36 and 1,216.91 is: 1,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.18 : 4,746.36 = 1,216.91 : x
  2. Step 2: Convert to fraction form
    3,166.18/4,746.36 = 1,216.91/x
  3. Step 3: Cross multiply
    3,166.18x = 4,746.36 × 1,216.91
  4. Step 4: Simplify right side
    3,166.18x = 5,775,904.81
  5. Step 5: Solve for x
    x = 5,775,904.81/3,166.18
  6. Step 6: Final answer
    x = 1,824.25

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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.