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Finding the Fourth Proportional to 2,444.26, 3,666.35 and 595.38

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Solution

The fourth proportional to 2,444.26, 3,666.35 and 595.38 is: 893.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.26 : 3,666.35 = 595.38 : x
  2. Step 2: Convert to fraction form
    2,444.26/3,666.35 = 595.38/x
  3. Step 3: Cross multiply
    2,444.26x = 3,666.35 × 595.38
  4. Step 4: Simplify right side
    2,444.26x = 2,182,859.20
  5. Step 5: Solve for x
    x = 2,182,859.20/2,444.26
  6. Step 6: Final answer
    x = 893.06

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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.