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Finding the Fourth Proportional to 2,409, 3,324.50 and 1,477.32

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Solution

The fourth proportional to 2,409, 3,324.50 and 1,477.32 is: 2,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409 : 3,324.50 = 1,477.32 : x
  2. Step 2: Convert to fraction form
    2,409/3,324.50 = 1,477.32/x
  3. Step 3: Cross multiply
    2,409x = 3,324.50 × 1,477.32
  4. Step 4: Simplify right side
    2,409x = 4,911,350.34
  5. Step 5: Solve for x
    x = 4,911,350.34/2,409
  6. Step 6: Final answer
    x = 2,038.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.