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Finding the Fourth Proportional to 2,652.94, 3,661.23 and 1,534.09

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Solution

The fourth proportional to 2,652.94, 3,661.23 and 1,534.09 is: 2,117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.94 : 3,661.23 = 1,534.09 : x
  2. Step 2: Convert to fraction form
    2,652.94/3,661.23 = 1,534.09/x
  3. Step 3: Cross multiply
    2,652.94x = 3,661.23 × 1,534.09
  4. Step 4: Simplify right side
    2,652.94x = 5,616,656.33
  5. Step 5: Solve for x
    x = 5,616,656.33/2,652.94
  6. Step 6: Final answer
    x = 2,117.14

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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.