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Finding the Fourth Proportional to 1,696.51, 2,338.01 and 1,322.90

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Solution

The fourth proportional to 1,696.51, 2,338.01 and 1,322.90 is: 1,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.51 : 2,338.01 = 1,322.90 : x
  2. Step 2: Convert to fraction form
    1,696.51/2,338.01 = 1,322.90/x
  3. Step 3: Cross multiply
    1,696.51x = 2,338.01 × 1,322.90
  4. Step 4: Simplify right side
    1,696.51x = 3,092,956.29
  5. Step 5: Solve for x
    x = 3,092,956.29/1,696.51
  6. Step 6: Final answer
    x = 1,823.13

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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.