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Finding the Fourth Proportional to 2,182.79, 3,009.08 and 1,435.48

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Solution

The fourth proportional to 2,182.79, 3,009.08 and 1,435.48 is: 1,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.79 : 3,009.08 = 1,435.48 : x
  2. Step 2: Convert to fraction form
    2,182.79/3,009.08 = 1,435.48/x
  3. Step 3: Cross multiply
    2,182.79x = 3,009.08 × 1,435.48
  4. Step 4: Simplify right side
    2,182.79x = 4,319,470.22
  5. Step 5: Solve for x
    x = 4,319,470.22/2,182.79
  6. Step 6: Final answer
    x = 1,978.87

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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.