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Finding the Fourth Proportional to 2,229.66, 3,076.47 and 1,345.51

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Solution

The fourth proportional to 2,229.66, 3,076.47 and 1,345.51 is: 1,856.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.66 : 3,076.47 = 1,345.51 : x
  2. Step 2: Convert to fraction form
    2,229.66/3,076.47 = 1,345.51/x
  3. Step 3: Cross multiply
    2,229.66x = 3,076.47 × 1,345.51
  4. Step 4: Simplify right side
    2,229.66x = 4,139,421.15
  5. Step 5: Solve for x
    x = 4,139,421.15/2,229.66
  6. Step 6: Final answer
    x = 1,856.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.