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Finding the Fourth Proportional to 2,306.76, 3,461.22 and 1,152.51

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Solution

The fourth proportional to 2,306.76, 3,461.22 and 1,152.51 is: 1,729.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.76 : 3,461.22 = 1,152.51 : x
  2. Step 2: Convert to fraction form
    2,306.76/3,461.22 = 1,152.51/x
  3. Step 3: Cross multiply
    2,306.76x = 3,461.22 × 1,152.51
  4. Step 4: Simplify right side
    2,306.76x = 3,989,090.66
  5. Step 5: Solve for x
    x = 3,989,090.66/2,306.76
  6. Step 6: Final answer
    x = 1,729.30

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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.