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Finding the Fourth Proportional to 2,182.79, 3,009.07 and 1,657.91

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Solution

The fourth proportional to 2,182.79, 3,009.07 and 1,657.91 is: 2,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.79 : 3,009.07 = 1,657.91 : x
  2. Step 2: Convert to fraction form
    2,182.79/3,009.07 = 1,657.91/x
  3. Step 3: Cross multiply
    2,182.79x = 3,009.07 × 1,657.91
  4. Step 4: Simplify right side
    2,182.79x = 4,988,767.24
  5. Step 5: Solve for x
    x = 4,988,767.24/2,182.79
  6. Step 6: Final answer
    x = 2,285.50

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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.