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Finding the Fourth Proportional to 3,126.49, 4,686.28 and 1,277.17

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Solution

The fourth proportional to 3,126.49, 4,686.28 and 1,277.17 is: 1,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.49 : 4,686.28 = 1,277.17 : x
  2. Step 2: Convert to fraction form
    3,126.49/4,686.28 = 1,277.17/x
  3. Step 3: Cross multiply
    3,126.49x = 4,686.28 × 1,277.17
  4. Step 4: Simplify right side
    3,126.49x = 5,985,161.32
  5. Step 5: Solve for x
    x = 5,985,161.32/3,126.49
  6. Step 6: Final answer
    x = 1,914.34

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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.