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Finding the Fourth Proportional to 3,146.51, 4,693.22 and 2,732.39

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Solution

The fourth proportional to 3,146.51, 4,693.22 and 2,732.39 is: 4,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.51 : 4,693.22 = 2,732.39 : x
  2. Step 2: Convert to fraction form
    3,146.51/4,693.22 = 2,732.39/x
  3. Step 3: Cross multiply
    3,146.51x = 4,693.22 × 2,732.39
  4. Step 4: Simplify right side
    3,146.51x = 12,823,707.40
  5. Step 5: Solve for x
    x = 12,823,707.40/3,146.51
  6. Step 6: Final answer
    x = 4,075.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.