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Finding the Fourth Proportional to 2,652.06, 3,661.06 and 1,657.98

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Solution

The fourth proportional to 2,652.06, 3,661.06 and 1,657.98 is: 2,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.06 : 3,661.06 = 1,657.98 : x
  2. Step 2: Convert to fraction form
    2,652.06/3,661.06 = 1,657.98/x
  3. Step 3: Cross multiply
    2,652.06x = 3,661.06 × 1,657.98
  4. Step 4: Simplify right side
    2,652.06x = 6,069,964.26
  5. Step 5: Solve for x
    x = 6,069,964.26/2,652.06
  6. Step 6: Final answer
    x = 2,288.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.