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Finding the Fourth Proportional to 2,437.46, 3,656.19 and 2,262.50

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Solution

The fourth proportional to 2,437.46, 3,656.19 and 2,262.50 is: 3,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.46 : 3,656.19 = 2,262.50 : x
  2. Step 2: Convert to fraction form
    2,437.46/3,656.19 = 2,262.50/x
  3. Step 3: Cross multiply
    2,437.46x = 3,656.19 × 2,262.50
  4. Step 4: Simplify right side
    2,437.46x = 8,272,129.88
  5. Step 5: Solve for x
    x = 8,272,129.88/2,437.46
  6. Step 6: Final answer
    x = 3,393.75

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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.