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Finding the Fourth Proportional to 2,355.75, 3,530.93 and 1,316.25

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Solution

The fourth proportional to 2,355.75, 3,530.93 and 1,316.25 is: 1,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.75 : 3,530.93 = 1,316.25 : x
  2. Step 2: Convert to fraction form
    2,355.75/3,530.93 = 1,316.25/x
  3. Step 3: Cross multiply
    2,355.75x = 3,530.93 × 1,316.25
  4. Step 4: Simplify right side
    2,355.75x = 4,647,580.03
  5. Step 5: Solve for x
    x = 4,647,580.03/2,355.75
  6. Step 6: Final answer
    x = 1,972.87

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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.