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Finding the Fourth Proportional to 3,114.52, 4,673.16 and 1,653.32

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Solution

The fourth proportional to 3,114.52, 4,673.16 and 1,653.32 is: 2,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.52 : 4,673.16 = 1,653.32 : x
  2. Step 2: Convert to fraction form
    3,114.52/4,673.16 = 1,653.32/x
  3. Step 3: Cross multiply
    3,114.52x = 4,673.16 × 1,653.32
  4. Step 4: Simplify right side
    3,114.52x = 7,726,228.89
  5. Step 5: Solve for x
    x = 7,726,228.89/3,114.52
  6. Step 6: Final answer
    x = 2,480.71

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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.