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Finding the Fourth Proportional to 2,669.54, 3,683.76 and 1,607.36

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Solution

The fourth proportional to 2,669.54, 3,683.76 and 1,607.36 is: 2,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.54 : 3,683.76 = 1,607.36 : x
  2. Step 2: Convert to fraction form
    2,669.54/3,683.76 = 1,607.36/x
  3. Step 3: Cross multiply
    2,669.54x = 3,683.76 × 1,607.36
  4. Step 4: Simplify right side
    2,669.54x = 5,921,128.47
  5. Step 5: Solve for x
    x = 5,921,128.47/2,669.54
  6. Step 6: Final answer
    x = 2,218.03

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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.