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Finding the Fourth Proportional to 3,182.95, 4,392.93 and 1,924.75

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Solution

The fourth proportional to 3,182.95, 4,392.93 and 1,924.75 is: 2,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.95 : 4,392.93 = 1,924.75 : x
  2. Step 2: Convert to fraction form
    3,182.95/4,392.93 = 1,924.75/x
  3. Step 3: Cross multiply
    3,182.95x = 4,392.93 × 1,924.75
  4. Step 4: Simplify right side
    3,182.95x = 8,455,292.02
  5. Step 5: Solve for x
    x = 8,455,292.02/3,182.95
  6. Step 6: Final answer
    x = 2,656.43

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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.