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Finding the Fourth Proportional to 2,406.18, 3,607.11 and 946.38

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Solution

The fourth proportional to 2,406.18, 3,607.11 and 946.38 is: 1,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.18 : 3,607.11 = 946.38 : x
  2. Step 2: Convert to fraction form
    2,406.18/3,607.11 = 946.38/x
  3. Step 3: Cross multiply
    2,406.18x = 3,607.11 × 946.38
  4. Step 4: Simplify right side
    2,406.18x = 3,413,696.76
  5. Step 5: Solve for x
    x = 3,413,696.76/2,406.18
  6. Step 6: Final answer
    x = 1,418.72

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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.