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Finding the Fourth Proportional to 2,441.66, 3,662.50 and 592.77

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Solution

The fourth proportional to 2,441.66, 3,662.50 and 592.77 is: 889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.66 : 3,662.50 = 592.77 : x
  2. Step 2: Convert to fraction form
    2,441.66/3,662.50 = 592.77/x
  3. Step 3: Cross multiply
    2,441.66x = 3,662.50 × 592.77
  4. Step 4: Simplify right side
    2,441.66x = 2,171,012.89
  5. Step 5: Solve for x
    x = 2,171,012.89/2,441.66
  6. Step 6: Final answer
    x = 889.15

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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.