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Finding the Fourth Proportional to 2,444.85, 3,666.33 and 1,405.62

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Solution

The fourth proportional to 2,444.85, 3,666.33 and 1,405.62 is: 2,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.85 : 3,666.33 = 1,405.62 : x
  2. Step 2: Convert to fraction form
    2,444.85/3,666.33 = 1,405.62/x
  3. Step 3: Cross multiply
    2,444.85x = 3,666.33 × 1,405.62
  4. Step 4: Simplify right side
    2,444.85x = 5,153,466.77
  5. Step 5: Solve for x
    x = 5,153,466.77/2,444.85
  6. Step 6: Final answer
    x = 2,107.89

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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.