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Finding the Fourth Proportional to 2,522.05, 3,480.98 and 1,460.00

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Solution

The fourth proportional to 2,522.05, 3,480.98 and 1,460.00 is: 2,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.05 : 3,480.98 = 1,460.00 : x
  2. Step 2: Convert to fraction form
    2,522.05/3,480.98 = 1,460.00/x
  3. Step 3: Cross multiply
    2,522.05x = 3,480.98 × 1,460.00
  4. Step 4: Simplify right side
    2,522.05x = 5,082,232.20
  5. Step 5: Solve for x
    x = 5,082,232.20/2,522.05
  6. Step 6: Final answer
    x = 2,015.12

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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.