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Finding the Fourth Proportional to 2,086.54, 3,130.02 and 770.02

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Solution

The fourth proportional to 2,086.54, 3,130.02 and 770.02 is: 1,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.54 : 3,130.02 = 770.02 : x
  2. Step 2: Convert to fraction form
    2,086.54/3,130.02 = 770.02/x
  3. Step 3: Cross multiply
    2,086.54x = 3,130.02 × 770.02
  4. Step 4: Simplify right side
    2,086.54x = 2,410,178.00
  5. Step 5: Solve for x
    x = 2,410,178.00/2,086.54
  6. Step 6: Final answer
    x = 1,155.11

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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.