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Finding the Fourth Proportional to 2,087.01, 3,130.22 and 1,460.41

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Solution

The fourth proportional to 2,087.01, 3,130.22 and 1,460.41 is: 2,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.01 : 3,130.22 = 1,460.41 : x
  2. Step 2: Convert to fraction form
    2,087.01/3,130.22 = 1,460.41/x
  3. Step 3: Cross multiply
    2,087.01x = 3,130.22 × 1,460.41
  4. Step 4: Simplify right side
    2,087.01x = 4,571,400.42
  5. Step 5: Solve for x
    x = 4,571,400.42/2,087.01
  6. Step 6: Final answer
    x = 2,190.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.