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Finding the Fourth Proportional to 1,696.73, 2,341.24 and 1,107.45

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Solution

The fourth proportional to 1,696.73, 2,341.24 and 1,107.45 is: 1,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.73 : 2,341.24 = 1,107.45 : x
  2. Step 2: Convert to fraction form
    1,696.73/2,341.24 = 1,107.45/x
  3. Step 3: Cross multiply
    1,696.73x = 2,341.24 × 1,107.45
  4. Step 4: Simplify right side
    1,696.73x = 2,592,803.47
  5. Step 5: Solve for x
    x = 2,592,803.47/1,696.73
  6. Step 6: Final answer
    x = 1,528.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.