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Finding the Fourth Proportional to 1,656.76, 2,287.46 and 1,516.33

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Solution

The fourth proportional to 1,656.76, 2,287.46 and 1,516.33 is: 2,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.76 : 2,287.46 = 1,516.33 : x
  2. Step 2: Convert to fraction form
    1,656.76/2,287.46 = 1,516.33/x
  3. Step 3: Cross multiply
    1,656.76x = 2,287.46 × 1,516.33
  4. Step 4: Simplify right side
    1,656.76x = 3,468,542.36
  5. Step 5: Solve for x
    x = 3,468,542.36/1,656.76
  6. Step 6: Final answer
    x = 2,093.58

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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.