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Finding the Fourth Proportional to 2,390.52, 3,586.80 and 1,004.20

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Solution

The fourth proportional to 2,390.52, 3,586.80 and 1,004.20 is: 1,506.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.52 : 3,586.80 = 1,004.20 : x
  2. Step 2: Convert to fraction form
    2,390.52/3,586.80 = 1,004.20/x
  3. Step 3: Cross multiply
    2,390.52x = 3,586.80 × 1,004.20
  4. Step 4: Simplify right side
    2,390.52x = 3,601,864.56
  5. Step 5: Solve for x
    x = 3,601,864.56/2,390.52
  6. Step 6: Final answer
    x = 1,506.73

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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.