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Finding the Fourth Proportional to 2,778.39, 4,164.04 and 1,528.16

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Solution

The fourth proportional to 2,778.39, 4,164.04 and 1,528.16 is: 2,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.39 : 4,164.04 = 1,528.16 : x
  2. Step 2: Convert to fraction form
    2,778.39/4,164.04 = 1,528.16/x
  3. Step 3: Cross multiply
    2,778.39x = 4,164.04 × 1,528.16
  4. Step 4: Simplify right side
    2,778.39x = 6,363,300.46
  5. Step 5: Solve for x
    x = 6,363,300.46/2,778.39
  6. Step 6: Final answer
    x = 2,290.28

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