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Finding the Fourth Proportional to 2,392.46, 3,586.52 and 853.10

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Solution

The fourth proportional to 2,392.46, 3,586.52 and 853.10 is: 1,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.46 : 3,586.52 = 853.10 : x
  2. Step 2: Convert to fraction form
    2,392.46/3,586.52 = 853.10/x
  3. Step 3: Cross multiply
    2,392.46x = 3,586.52 × 853.10
  4. Step 4: Simplify right side
    2,392.46x = 3,059,638.01
  5. Step 5: Solve for x
    x = 3,059,638.01/2,392.46
  6. Step 6: Final answer
    x = 1,278.87

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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.