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Finding the Fourth Proportional to 2,497.37, 3,742.79 and 1,264.12

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Solution

The fourth proportional to 2,497.37, 3,742.79 and 1,264.12 is: 1,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.37 : 3,742.79 = 1,264.12 : x
  2. Step 2: Convert to fraction form
    2,497.37/3,742.79 = 1,264.12/x
  3. Step 3: Cross multiply
    2,497.37x = 3,742.79 × 1,264.12
  4. Step 4: Simplify right side
    2,497.37x = 4,731,329.50
  5. Step 5: Solve for x
    x = 4,731,329.50/2,497.37
  6. Step 6: Final answer
    x = 1,894.52

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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.