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Finding the Fourth Proportional to 2,444.21, 3,666.32 and 595.31

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Solution

The fourth proportional to 2,444.21, 3,666.32 and 595.31 is: 892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.21 : 3,666.32 = 595.31 : x
  2. Step 2: Convert to fraction form
    2,444.21/3,666.32 = 595.31/x
  3. Step 3: Cross multiply
    2,444.21x = 3,666.32 × 595.31
  4. Step 4: Simplify right side
    2,444.21x = 2,182,596.96
  5. Step 5: Solve for x
    x = 2,182,596.96/2,444.21
  6. Step 6: Final answer
    x = 892.97

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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.