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Finding the Fourth Proportional to 2,730.06, 3,767.10 and 1,551.06

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Solution

The fourth proportional to 2,730.06, 3,767.10 and 1,551.06 is: 2,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.06 : 3,767.10 = 1,551.06 : x
  2. Step 2: Convert to fraction form
    2,730.06/3,767.10 = 1,551.06/x
  3. Step 3: Cross multiply
    2,730.06x = 3,767.10 × 1,551.06
  4. Step 4: Simplify right side
    2,730.06x = 5,842,998.13
  5. Step 5: Solve for x
    x = 5,842,998.13/2,730.06
  6. Step 6: Final answer
    x = 2,140.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.