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Finding the Fourth Proportional to 3,186.90, 4,780.35 and 2,322.90

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Solution

The fourth proportional to 3,186.90, 4,780.35 and 2,322.90 is: 3,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.90 : 4,780.35 = 2,322.90 : x
  2. Step 2: Convert to fraction form
    3,186.90/4,780.35 = 2,322.90/x
  3. Step 3: Cross multiply
    3,186.90x = 4,780.35 × 2,322.90
  4. Step 4: Simplify right side
    3,186.90x = 11,104,275.02
  5. Step 5: Solve for x
    x = 11,104,275.02/3,186.90
  6. Step 6: Final answer
    x = 3,484.35

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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.