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Finding the Fourth Proportional to 2,657.09, 3,666.74 and 1,478.18

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Solution

The fourth proportional to 2,657.09, 3,666.74 and 1,478.18 is: 2,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.09 : 3,666.74 = 1,478.18 : x
  2. Step 2: Convert to fraction form
    2,657.09/3,666.74 = 1,478.18/x
  3. Step 3: Cross multiply
    2,657.09x = 3,666.74 × 1,478.18
  4. Step 4: Simplify right side
    2,657.09x = 5,420,076.01
  5. Step 5: Solve for x
    x = 5,420,076.01/2,657.09
  6. Step 6: Final answer
    x = 2,039.86

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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.