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Finding the Fourth Proportional to 2,470.47, 3,409.58 and 1,408.62

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Solution

The fourth proportional to 2,470.47, 3,409.58 and 1,408.62 is: 1,944.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.47 : 3,409.58 = 1,408.62 : x
  2. Step 2: Convert to fraction form
    2,470.47/3,409.58 = 1,408.62/x
  3. Step 3: Cross multiply
    2,470.47x = 3,409.58 × 1,408.62
  4. Step 4: Simplify right side
    2,470.47x = 4,802,795.54
  5. Step 5: Solve for x
    x = 4,802,795.54/2,470.47
  6. Step 6: Final answer
    x = 1,944.08

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