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Finding the Fourth Proportional to 2,580.93, 3,561.17 and 1,637.01

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Solution

The fourth proportional to 2,580.93, 3,561.17 and 1,637.01 is: 2,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.93 : 3,561.17 = 1,637.01 : x
  2. Step 2: Convert to fraction form
    2,580.93/3,561.17 = 1,637.01/x
  3. Step 3: Cross multiply
    2,580.93x = 3,561.17 × 1,637.01
  4. Step 4: Simplify right side
    2,580.93x = 5,829,662.72
  5. Step 5: Solve for x
    x = 5,829,662.72/2,580.93
  6. Step 6: Final answer
    x = 2,258.74

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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.