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Finding the Fourth Proportional to 2,671.34, 3,686.46 and 1,552.94

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Solution

The fourth proportional to 2,671.34, 3,686.46 and 1,552.94 is: 2,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.34 : 3,686.46 = 1,552.94 : x
  2. Step 2: Convert to fraction form
    2,671.34/3,686.46 = 1,552.94/x
  3. Step 3: Cross multiply
    2,671.34x = 3,686.46 × 1,552.94
  4. Step 4: Simplify right side
    2,671.34x = 5,724,832.76
  5. Step 5: Solve for x
    x = 5,724,832.76/2,671.34
  6. Step 6: Final answer
    x = 2,143.06

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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.