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Finding the Fourth Proportional to 2,437.86, 3,658.41 and 2,275.86

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Solution

The fourth proportional to 2,437.86, 3,658.41 and 2,275.86 is: 3,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.86 : 3,658.41 = 2,275.86 : x
  2. Step 2: Convert to fraction form
    2,437.86/3,658.41 = 2,275.86/x
  3. Step 3: Cross multiply
    2,437.86x = 3,658.41 × 2,275.86
  4. Step 4: Simplify right side
    2,437.86x = 8,326,028.98
  5. Step 5: Solve for x
    x = 8,326,028.98/2,437.86
  6. Step 6: Final answer
    x = 3,415.30

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1.5x scale

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.