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Finding the Fourth Proportional to 1,693.58, 2,342.28 and 1,516.26

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Solution

The fourth proportional to 1,693.58, 2,342.28 and 1,516.26 is: 2,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.58 : 2,342.28 = 1,516.26 : x
  2. Step 2: Convert to fraction form
    1,693.58/2,342.28 = 1,516.26/x
  3. Step 3: Cross multiply
    1,693.58x = 2,342.28 × 1,516.26
  4. Step 4: Simplify right side
    1,693.58x = 3,551,505.47
  5. Step 5: Solve for x
    x = 3,551,505.47/1,693.58
  6. Step 6: Final answer
    x = 2,097.05

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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.