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Finding the Fourth Proportional to 2,437.73, 3,656.95 and 976.85

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Solution

The fourth proportional to 2,437.73, 3,656.95 and 976.85 is: 1,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.73 : 3,656.95 = 976.85 : x
  2. Step 2: Convert to fraction form
    2,437.73/3,656.95 = 976.85/x
  3. Step 3: Cross multiply
    2,437.73x = 3,656.95 × 976.85
  4. Step 4: Simplify right side
    2,437.73x = 3,572,291.61
  5. Step 5: Solve for x
    x = 3,572,291.61/2,437.73
  6. Step 6: Final answer
    x = 1,465.42

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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.