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Finding the Fourth Proportional to 2,087.14, 3,130.20 and 606.06

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Solution

The fourth proportional to 2,087.14, 3,130.20 and 606.06 is: 908.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.14 : 3,130.20 = 606.06 : x
  2. Step 2: Convert to fraction form
    2,087.14/3,130.20 = 606.06/x
  3. Step 3: Cross multiply
    2,087.14x = 3,130.20 × 606.06
  4. Step 4: Simplify right side
    2,087.14x = 1,897,089.01
  5. Step 5: Solve for x
    x = 1,897,089.01/2,087.14
  6. Step 6: Final answer
    x = 908.94

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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.