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Finding the Fourth Proportional to 3,320.52, 4,582.62 and 1,923

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Solution

The fourth proportional to 3,320.52, 4,582.62 and 1,923 is: 2,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.52 : 4,582.62 = 1,923 : x
  2. Step 2: Convert to fraction form
    3,320.52/4,582.62 = 1,923/x
  3. Step 3: Cross multiply
    3,320.52x = 4,582.62 × 1,923
  4. Step 4: Simplify right side
    3,320.52x = 8,812,378.26
  5. Step 5: Solve for x
    x = 8,812,378.26/3,320.52
  6. Step 6: Final answer
    x = 2,653.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.