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Finding the Fourth Proportional to 3,130.68, 4,698.38 and 2,141.13

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Solution

The fourth proportional to 3,130.68, 4,698.38 and 2,141.13 is: 3,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.68 : 4,698.38 = 2,141.13 : x
  2. Step 2: Convert to fraction form
    3,130.68/4,698.38 = 2,141.13/x
  3. Step 3: Cross multiply
    3,130.68x = 4,698.38 × 2,141.13
  4. Step 4: Simplify right side
    3,130.68x = 10,059,842.37
  5. Step 5: Solve for x
    x = 10,059,842.37/3,130.68
  6. Step 6: Final answer
    x = 3,213.31

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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.