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Finding the Fourth Proportional to 2,403.54, 3,316.41 and 1,409.13

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Solution

The fourth proportional to 2,403.54, 3,316.41 and 1,409.13 is: 1,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.54 : 3,316.41 = 1,409.13 : x
  2. Step 2: Convert to fraction form
    2,403.54/3,316.41 = 1,409.13/x
  3. Step 3: Cross multiply
    2,403.54x = 3,316.41 × 1,409.13
  4. Step 4: Simplify right side
    2,403.54x = 4,673,252.82
  5. Step 5: Solve for x
    x = 4,673,252.82/2,403.54
  6. Step 6: Final answer
    x = 1,944.32

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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.