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Finding the Fourth Proportional to 2,444.53, 3,666.78 and 595.61

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Solution

The fourth proportional to 2,444.53, 3,666.78 and 595.61 is: 893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.53 : 3,666.78 = 595.61 : x
  2. Step 2: Convert to fraction form
    2,444.53/3,666.78 = 595.61/x
  3. Step 3: Cross multiply
    2,444.53x = 3,666.78 × 595.61
  4. Step 4: Simplify right side
    2,444.53x = 2,183,970.84
  5. Step 5: Solve for x
    x = 2,183,970.84/2,444.53
  6. Step 6: Final answer
    x = 893.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.