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Finding the Fourth Proportional to 2,369.95, 3,549.93 and 1,544.56

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Solution

The fourth proportional to 2,369.95, 3,549.93 and 1,544.56 is: 2,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.95 : 3,549.93 = 1,544.56 : x
  2. Step 2: Convert to fraction form
    2,369.95/3,549.93 = 1,544.56/x
  3. Step 3: Cross multiply
    2,369.95x = 3,549.93 × 1,544.56
  4. Step 4: Simplify right side
    2,369.95x = 5,483,079.88
  5. Step 5: Solve for x
    x = 5,483,079.88/2,369.95
  6. Step 6: Final answer
    x = 2,313.58

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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.