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Finding the Fourth Proportional to 2,580.57, 3,561.06 and 1,401.60

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Solution

The fourth proportional to 2,580.57, 3,561.06 and 1,401.60 is: 1,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.57 : 3,561.06 = 1,401.60 : x
  2. Step 2: Convert to fraction form
    2,580.57/3,561.06 = 1,401.60/x
  3. Step 3: Cross multiply
    2,580.57x = 3,561.06 × 1,401.60
  4. Step 4: Simplify right side
    2,580.57x = 4,991,181.70
  5. Step 5: Solve for x
    x = 4,991,181.70/2,580.57
  6. Step 6: Final answer
    x = 1,934.14

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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.