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Finding the Fourth Proportional to 3,141.48, 4,712.24 and 1,409.68

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Solution

The fourth proportional to 3,141.48, 4,712.24 and 1,409.68 is: 2,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.48 : 4,712.24 = 1,409.68 : x
  2. Step 2: Convert to fraction form
    3,141.48/4,712.24 = 1,409.68/x
  3. Step 3: Cross multiply
    3,141.48x = 4,712.24 × 1,409.68
  4. Step 4: Simplify right side
    3,141.48x = 6,642,750.48
  5. Step 5: Solve for x
    x = 6,642,750.48/3,141.48
  6. Step 6: Final answer
    x = 2,114.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.