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Finding the Fourth Proportional to 1,486.34, 2,229.54 and 390.72

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Solution

The fourth proportional to 1,486.34, 2,229.54 and 390.72 is: 586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.34 : 2,229.54 = 390.72 : x
  2. Step 2: Convert to fraction form
    1,486.34/2,229.54 = 390.72/x
  3. Step 3: Cross multiply
    1,486.34x = 2,229.54 × 390.72
  4. Step 4: Simplify right side
    1,486.34x = 871,125.87
  5. Step 5: Solve for x
    x = 871,125.87/1,486.34
  6. Step 6: Final answer
    x = 586.09

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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.