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Finding the Fourth Proportional to 2,700.92, 4,054.08 and 1,405.28

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Solution

The fourth proportional to 2,700.92, 4,054.08 and 1,405.28 is: 2,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.92 : 4,054.08 = 1,405.28 : x
  2. Step 2: Convert to fraction form
    2,700.92/4,054.08 = 1,405.28/x
  3. Step 3: Cross multiply
    2,700.92x = 4,054.08 × 1,405.28
  4. Step 4: Simplify right side
    2,700.92x = 5,697,117.54
  5. Step 5: Solve for x
    x = 5,697,117.54/2,700.92
  6. Step 6: Final answer
    x = 2,109.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.