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Finding the Fourth Proportional to 2,360.20, 3,540.72 and 972.76

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Solution

The fourth proportional to 2,360.20, 3,540.72 and 972.76 is: 1,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.20 : 3,540.72 = 972.76 : x
  2. Step 2: Convert to fraction form
    2,360.20/3,540.72 = 972.76/x
  3. Step 3: Cross multiply
    2,360.20x = 3,540.72 × 972.76
  4. Step 4: Simplify right side
    2,360.20x = 3,444,270.79
  5. Step 5: Solve for x
    x = 3,444,270.79/2,360.20
  6. Step 6: Final answer
    x = 1,459.32

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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.