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Finding the Fourth Proportional to 2,356.98, 3,535.32 and 713.58

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Solution

The fourth proportional to 2,356.98, 3,535.32 and 713.58 is: 1,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.98 : 3,535.32 = 713.58 : x
  2. Step 2: Convert to fraction form
    2,356.98/3,535.32 = 713.58/x
  3. Step 3: Cross multiply
    2,356.98x = 3,535.32 × 713.58
  4. Step 4: Simplify right side
    2,356.98x = 2,522,733.65
  5. Step 5: Solve for x
    x = 2,522,733.65/2,356.98
  6. Step 6: Final answer
    x = 1,070.32

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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.