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Finding the Fourth Proportional to 2,686.36, 4,030.98 and 1,147

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Solution

The fourth proportional to 2,686.36, 4,030.98 and 1,147 is: 1,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.36 : 4,030.98 = 1,147 : x
  2. Step 2: Convert to fraction form
    2,686.36/4,030.98 = 1,147/x
  3. Step 3: Cross multiply
    2,686.36x = 4,030.98 × 1,147
  4. Step 4: Simplify right side
    2,686.36x = 4,623,534.06
  5. Step 5: Solve for x
    x = 4,623,534.06/2,686.36
  6. Step 6: Final answer
    x = 1,721.11

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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.