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Finding the Fourth Proportional to 2,303.72, 3,177.17 and 1,946.56

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Solution

The fourth proportional to 2,303.72, 3,177.17 and 1,946.56 is: 2,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.72 : 3,177.17 = 1,946.56 : x
  2. Step 2: Convert to fraction form
    2,303.72/3,177.17 = 1,946.56/x
  3. Step 3: Cross multiply
    2,303.72x = 3,177.17 × 1,946.56
  4. Step 4: Simplify right side
    2,303.72x = 6,184,539.35
  5. Step 5: Solve for x
    x = 6,184,539.35/2,303.72
  6. Step 6: Final answer
    x = 2,684.59

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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.