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Finding the Fourth Proportional to 2,322.48, 3,480.36 and 1,745.76

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Solution

The fourth proportional to 2,322.48, 3,480.36 and 1,745.76 is: 2,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.48 : 3,480.36 = 1,745.76 : x
  2. Step 2: Convert to fraction form
    2,322.48/3,480.36 = 1,745.76/x
  3. Step 3: Cross multiply
    2,322.48x = 3,480.36 × 1,745.76
  4. Step 4: Simplify right side
    2,322.48x = 6,075,873.27
  5. Step 5: Solve for x
    x = 6,075,873.27/2,322.48
  6. Step 6: Final answer
    x = 2,616.11

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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.