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Finding the Fourth Proportional to 2,647.32, 3,966.66 and 1,347

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Solution

The fourth proportional to 2,647.32, 3,966.66 and 1,347 is: 2,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.32 : 3,966.66 = 1,347 : x
  2. Step 2: Convert to fraction form
    2,647.32/3,966.66 = 1,347/x
  3. Step 3: Cross multiply
    2,647.32x = 3,966.66 × 1,347
  4. Step 4: Simplify right side
    2,647.32x = 5,343,091.02
  5. Step 5: Solve for x
    x = 5,343,091.02/2,647.32
  6. Step 6: Final answer
    x = 2,018.30

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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.