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Finding the Fourth Proportional to 3,008.64, 4,513.73 and 928.87

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Solution

The fourth proportional to 3,008.64, 4,513.73 and 928.87 is: 1,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.64 : 4,513.73 = 928.87 : x
  2. Step 2: Convert to fraction form
    3,008.64/4,513.73 = 928.87/x
  3. Step 3: Cross multiply
    3,008.64x = 4,513.73 × 928.87
  4. Step 4: Simplify right side
    3,008.64x = 4,192,652.46
  5. Step 5: Solve for x
    x = 4,192,652.46/3,008.64
  6. Step 6: Final answer
    x = 1,393.54

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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.