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Finding the Fourth Proportional to 2,530.76, 3,491.87 and 1,522.01

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Solution

The fourth proportional to 2,530.76, 3,491.87 and 1,522.01 is: 2,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.76 : 3,491.87 = 1,522.01 : x
  2. Step 2: Convert to fraction form
    2,530.76/3,491.87 = 1,522.01/x
  3. Step 3: Cross multiply
    2,530.76x = 3,491.87 × 1,522.01
  4. Step 4: Simplify right side
    2,530.76x = 5,314,662.18
  5. Step 5: Solve for x
    x = 5,314,662.18/2,530.76
  6. Step 6: Final answer
    x = 2,100.03

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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.