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Finding the Fourth Proportional to 2,783.64, 4,177.42 and 1,552.02

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Solution

The fourth proportional to 2,783.64, 4,177.42 and 1,552.02 is: 2,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.64 : 4,177.42 = 1,552.02 : x
  2. Step 2: Convert to fraction form
    2,783.64/4,177.42 = 1,552.02/x
  3. Step 3: Cross multiply
    2,783.64x = 4,177.42 × 1,552.02
  4. Step 4: Simplify right side
    2,783.64x = 6,483,439.39
  5. Step 5: Solve for x
    x = 6,483,439.39/2,783.64
  6. Step 6: Final answer
    x = 2,329.12

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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.