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Finding the Fourth Proportional to 2,316.95, 3,195.74 and 1,433.17

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Solution

The fourth proportional to 2,316.95, 3,195.74 and 1,433.17 is: 1,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.95 : 3,195.74 = 1,433.17 : x
  2. Step 2: Convert to fraction form
    2,316.95/3,195.74 = 1,433.17/x
  3. Step 3: Cross multiply
    2,316.95x = 3,195.74 × 1,433.17
  4. Step 4: Simplify right side
    2,316.95x = 4,580,034.29
  5. Step 5: Solve for x
    x = 4,580,034.29/2,316.95
  6. Step 6: Final answer
    x = 1,976.76

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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.