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Finding the Fourth Proportional to 2,325.60, 3,490.71 and 2,063.76

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Solution

The fourth proportional to 2,325.60, 3,490.71 and 2,063.76 is: 3,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.60 : 3,490.71 = 2,063.76 : x
  2. Step 2: Convert to fraction form
    2,325.60/3,490.71 = 2,063.76/x
  3. Step 3: Cross multiply
    2,325.60x = 3,490.71 × 2,063.76
  4. Step 4: Simplify right side
    2,325.60x = 7,203,987.67
  5. Step 5: Solve for x
    x = 7,203,987.67/2,325.60
  6. Step 6: Final answer
    x = 3,097.69

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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.