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Finding the Fourth Proportional to 2,083.65, 3,124.32 and 696.25

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Solution

The fourth proportional to 2,083.65, 3,124.32 and 696.25 is: 1,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.65 : 3,124.32 = 696.25 : x
  2. Step 2: Convert to fraction form
    2,083.65/3,124.32 = 696.25/x
  3. Step 3: Cross multiply
    2,083.65x = 3,124.32 × 696.25
  4. Step 4: Simplify right side
    2,083.65x = 2,175,307.80
  5. Step 5: Solve for x
    x = 2,175,307.80/2,083.65
  6. Step 6: Final answer
    x = 1,043.99

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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.