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Finding the Fourth Proportional to 2,046.16, 3,066.54 and 746.38

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Solution

The fourth proportional to 2,046.16, 3,066.54 and 746.38 is: 1,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.16 : 3,066.54 = 746.38 : x
  2. Step 2: Convert to fraction form
    2,046.16/3,066.54 = 746.38/x
  3. Step 3: Cross multiply
    2,046.16x = 3,066.54 × 746.38
  4. Step 4: Simplify right side
    2,046.16x = 2,288,804.13
  5. Step 5: Solve for x
    x = 2,288,804.13/2,046.16
  6. Step 6: Final answer
    x = 1,118.59

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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.