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Finding the Fourth Proportional to 2,322.07, 3,478.28 and 1,696.95

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Solution

The fourth proportional to 2,322.07, 3,478.28 and 1,696.95 is: 2,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.07 : 3,478.28 = 1,696.95 : x
  2. Step 2: Convert to fraction form
    2,322.07/3,478.28 = 1,696.95/x
  3. Step 3: Cross multiply
    2,322.07x = 3,478.28 × 1,696.95
  4. Step 4: Simplify right side
    2,322.07x = 5,902,458.76
  5. Step 5: Solve for x
    x = 5,902,458.76/2,322.07
  6. Step 6: Final answer
    x = 2,541.90

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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.