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Finding the Fourth Proportional to 2,485, 3,718.86 and 2,342.98

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Solution

The fourth proportional to 2,485, 3,718.86 and 2,342.98 is: 3,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485 : 3,718.86 = 2,342.98 : x
  2. Step 2: Convert to fraction form
    2,485/3,718.86 = 2,342.98/x
  3. Step 3: Cross multiply
    2,485x = 3,718.86 × 2,342.98
  4. Step 4: Simplify right side
    2,485x = 8,713,214.60
  5. Step 5: Solve for x
    x = 8,713,214.60/2,485
  6. Step 6: Final answer
    x = 3,506.32

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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.