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Finding the Fourth Proportional to 2,433.55, 3,647.19 and 2,119.93

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Solution

The fourth proportional to 2,433.55, 3,647.19 and 2,119.93 is: 3,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.55 : 3,647.19 = 2,119.93 : x
  2. Step 2: Convert to fraction form
    2,433.55/3,647.19 = 2,119.93/x
  3. Step 3: Cross multiply
    2,433.55x = 3,647.19 × 2,119.93
  4. Step 4: Simplify right side
    2,433.55x = 7,731,787.50
  5. Step 5: Solve for x
    x = 7,731,787.50/2,433.55
  6. Step 6: Final answer
    x = 3,177.16

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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.