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Finding the Fourth Proportional to 2,521.68, 3,482.12 and 1,696.08

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Solution

The fourth proportional to 2,521.68, 3,482.12 and 1,696.08 is: 2,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.68 : 3,482.12 = 1,696.08 : x
  2. Step 2: Convert to fraction form
    2,521.68/3,482.12 = 1,696.08/x
  3. Step 3: Cross multiply
    2,521.68x = 3,482.12 × 1,696.08
  4. Step 4: Simplify right side
    2,521.68x = 5,905,954.09
  5. Step 5: Solve for x
    x = 5,905,954.09/2,521.68
  6. Step 6: Final answer
    x = 2,342.07

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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.