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Finding the Fourth Proportional to 2,356.92, 3,534.62 and 1,059.32

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Solution

The fourth proportional to 2,356.92, 3,534.62 and 1,059.32 is: 1,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.92 : 3,534.62 = 1,059.32 : x
  2. Step 2: Convert to fraction form
    2,356.92/3,534.62 = 1,059.32/x
  3. Step 3: Cross multiply
    2,356.92x = 3,534.62 × 1,059.32
  4. Step 4: Simplify right side
    2,356.92x = 3,744,293.66
  5. Step 5: Solve for x
    x = 3,744,293.66/2,356.92
  6. Step 6: Final answer
    x = 1,588.64

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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.