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Finding the Fourth Proportional to 2,087.13, 3,130.72 and 548.13

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Solution

The fourth proportional to 2,087.13, 3,130.72 and 548.13 is: 822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.13 : 3,130.72 = 548.13 : x
  2. Step 2: Convert to fraction form
    2,087.13/3,130.72 = 548.13/x
  3. Step 3: Cross multiply
    2,087.13x = 3,130.72 × 548.13
  4. Step 4: Simplify right side
    2,087.13x = 1,716,041.55
  5. Step 5: Solve for x
    x = 1,716,041.55/2,087.13
  6. Step 6: Final answer
    x = 822.20

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Why These Related Problems?

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