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Finding the Fourth Proportional to 2,356.96, 3,532.56 and 2,068.96

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Solution

The fourth proportional to 2,356.96, 3,532.56 and 2,068.96 is: 3,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.96 : 3,532.56 = 2,068.96 : x
  2. Step 2: Convert to fraction form
    2,356.96/3,532.56 = 2,068.96/x
  3. Step 3: Cross multiply
    2,356.96x = 3,532.56 × 2,068.96
  4. Step 4: Simplify right side
    2,356.96x = 7,308,725.34
  5. Step 5: Solve for x
    x = 7,308,725.34/2,356.96
  6. Step 6: Final answer
    x = 3,100.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.