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Finding the Fourth Proportional to 3,191.17, 4,786.75 and 1,547.95

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Solution

The fourth proportional to 3,191.17, 4,786.75 and 1,547.95 is: 2,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.17 : 4,786.75 = 1,547.95 : x
  2. Step 2: Convert to fraction form
    3,191.17/4,786.75 = 1,547.95/x
  3. Step 3: Cross multiply
    3,191.17x = 4,786.75 × 1,547.95
  4. Step 4: Simplify right side
    3,191.17x = 7,409,663.56
  5. Step 5: Solve for x
    x = 7,409,663.56/3,191.17
  6. Step 6: Final answer
    x = 2,321.93

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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.