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Finding the Fourth Proportional to 2,696.72, 4,046.28 and 2,350.40

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Solution

The fourth proportional to 2,696.72, 4,046.28 and 2,350.40 is: 3,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.72 : 4,046.28 = 2,350.40 : x
  2. Step 2: Convert to fraction form
    2,696.72/4,046.28 = 2,350.40/x
  3. Step 3: Cross multiply
    2,696.72x = 4,046.28 × 2,350.40
  4. Step 4: Simplify right side
    2,696.72x = 9,510,376.51
  5. Step 5: Solve for x
    x = 9,510,376.51/2,696.72
  6. Step 6: Final answer
    x = 3,526.65

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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.