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Finding the Fourth Proportional to 1,528.81, 2,289.77 and 934.20

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Solution

The fourth proportional to 1,528.81, 2,289.77 and 934.20 is: 1,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.81 : 2,289.77 = 934.20 : x
  2. Step 2: Convert to fraction form
    1,528.81/2,289.77 = 934.20/x
  3. Step 3: Cross multiply
    1,528.81x = 2,289.77 × 934.20
  4. Step 4: Simplify right side
    1,528.81x = 2,139,101.97
  5. Step 5: Solve for x
    x = 2,139,101.97/1,528.81
  6. Step 6: Final answer
    x = 1,399.20

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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.