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Finding the Fourth Proportional to 2,333, 3,497.98 and 1,237.88

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Solution

The fourth proportional to 2,333, 3,497.98 and 1,237.88 is: 1,856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333 : 3,497.98 = 1,237.88 : x
  2. Step 2: Convert to fraction form
    2,333/3,497.98 = 1,237.88/x
  3. Step 3: Cross multiply
    2,333x = 3,497.98 × 1,237.88
  4. Step 4: Simplify right side
    2,333x = 4,330,079.48
  5. Step 5: Solve for x
    x = 4,330,079.48/2,333
  6. Step 6: Final answer
    x = 1,856.01

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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.