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Finding the Fourth Proportional to 2,444.21, 3,666.32 and 595.33

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Solution

The fourth proportional to 2,444.21, 3,666.32 and 595.33 is: 893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.21 : 3,666.32 = 595.33 : x
  2. Step 2: Convert to fraction form
    2,444.21/3,666.32 = 595.33/x
  3. Step 3: Cross multiply
    2,444.21x = 3,666.32 × 595.33
  4. Step 4: Simplify right side
    2,444.21x = 2,182,670.29
  5. Step 5: Solve for x
    x = 2,182,670.29/2,444.21
  6. Step 6: Final answer
    x = 893.00

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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.