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Finding the Fourth Proportional to 2,409.76, 3,617.84 and 1,544.48

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Solution

The fourth proportional to 2,409.76, 3,617.84 and 1,544.48 is: 2,318.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.76 : 3,617.84 = 1,544.48 : x
  2. Step 2: Convert to fraction form
    2,409.76/3,617.84 = 1,544.48/x
  3. Step 3: Cross multiply
    2,409.76x = 3,617.84 × 1,544.48
  4. Step 4: Simplify right side
    2,409.76x = 5,587,681.52
  5. Step 5: Solve for x
    x = 5,587,681.52/2,409.76
  6. Step 6: Final answer
    x = 2,318.77

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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.