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Finding the Fourth Proportional to 2,147.04, 2,961.84 and 1,359.84

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Solution

The fourth proportional to 2,147.04, 2,961.84 and 1,359.84 is: 1,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.04 : 2,961.84 = 1,359.84 : x
  2. Step 2: Convert to fraction form
    2,147.04/2,961.84 = 1,359.84/x
  3. Step 3: Cross multiply
    2,147.04x = 2,961.84 × 1,359.84
  4. Step 4: Simplify right side
    2,147.04x = 4,027,628.51
  5. Step 5: Solve for x
    x = 4,027,628.51/2,147.04
  6. Step 6: Final answer
    x = 1,875.90

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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.