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Finding the Fourth Proportional to 2,362.87, 3,541.69 and 975.44

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Solution

The fourth proportional to 2,362.87, 3,541.69 and 975.44 is: 1,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.87 : 3,541.69 = 975.44 : x
  2. Step 2: Convert to fraction form
    2,362.87/3,541.69 = 975.44/x
  3. Step 3: Cross multiply
    2,362.87x = 3,541.69 × 975.44
  4. Step 4: Simplify right side
    2,362.87x = 3,454,706.09
  5. Step 5: Solve for x
    x = 3,454,706.09/2,362.87
  6. Step 6: Final answer
    x = 1,462.08

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Why These Related Problems?

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