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Finding the Fourth Proportional to 2,746.84, 3,790.70 and 1,627.76

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Solution

The fourth proportional to 2,746.84, 3,790.70 and 1,627.76 is: 2,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.84 : 3,790.70 = 1,627.76 : x
  2. Step 2: Convert to fraction form
    2,746.84/3,790.70 = 1,627.76/x
  3. Step 3: Cross multiply
    2,746.84x = 3,790.70 × 1,627.76
  4. Step 4: Simplify right side
    2,746.84x = 6,170,349.83
  5. Step 5: Solve for x
    x = 6,170,349.83/2,746.84
  6. Step 6: Final answer
    x = 2,246.34

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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.