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Finding the Fourth Proportional to 1,696.19, 2,341.62 and 1,099.53

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Solution

The fourth proportional to 1,696.19, 2,341.62 and 1,099.53 is: 1,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.19 : 2,341.62 = 1,099.53 : x
  2. Step 2: Convert to fraction form
    1,696.19/2,341.62 = 1,099.53/x
  3. Step 3: Cross multiply
    1,696.19x = 2,341.62 × 1,099.53
  4. Step 4: Simplify right side
    1,696.19x = 2,574,681.44
  5. Step 5: Solve for x
    x = 2,574,681.44/1,696.19
  6. Step 6: Final answer
    x = 1,517.92

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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.