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Finding the Fourth Proportional to 2,444.68, 3,663.44 and 1,401.48

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Solution

The fourth proportional to 2,444.68, 3,663.44 and 1,401.48 is: 2,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.68 : 3,663.44 = 1,401.48 : x
  2. Step 2: Convert to fraction form
    2,444.68/3,663.44 = 1,401.48/x
  3. Step 3: Cross multiply
    2,444.68x = 3,663.44 × 1,401.48
  4. Step 4: Simplify right side
    2,444.68x = 5,134,237.89
  5. Step 5: Solve for x
    x = 5,134,237.89/2,444.68
  6. Step 6: Final answer
    x = 2,100.17

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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.