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Finding the Fourth Proportional to 2,783.52, 4,169.76 and 1,465.28

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Solution

The fourth proportional to 2,783.52, 4,169.76 and 1,465.28 is: 2,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.52 : 4,169.76 = 1,465.28 : x
  2. Step 2: Convert to fraction form
    2,783.52/4,169.76 = 1,465.28/x
  3. Step 3: Cross multiply
    2,783.52x = 4,169.76 × 1,465.28
  4. Step 4: Simplify right side
    2,783.52x = 6,109,865.93
  5. Step 5: Solve for x
    x = 6,109,865.93/2,783.52
  6. Step 6: Final answer
    x = 2,195.01

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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.