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Finding the Fourth Proportional to 2,656.71, 3,666.60 and 1,608.77

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Solution

The fourth proportional to 2,656.71, 3,666.60 and 1,608.77 is: 2,220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.71 : 3,666.60 = 1,608.77 : x
  2. Step 2: Convert to fraction form
    2,656.71/3,666.60 = 1,608.77/x
  3. Step 3: Cross multiply
    2,656.71x = 3,666.60 × 1,608.77
  4. Step 4: Simplify right side
    2,656.71x = 5,898,725.25
  5. Step 5: Solve for x
    x = 5,898,725.25/2,656.71
  6. Step 6: Final answer
    x = 2,220.31

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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.