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Finding the Fourth Proportional to 2,143.18, 3,215.10 and 910.59

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Solution

The fourth proportional to 2,143.18, 3,215.10 and 910.59 is: 1,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.18 : 3,215.10 = 910.59 : x
  2. Step 2: Convert to fraction form
    2,143.18/3,215.10 = 910.59/x
  3. Step 3: Cross multiply
    2,143.18x = 3,215.10 × 910.59
  4. Step 4: Simplify right side
    2,143.18x = 2,927,653.38
  5. Step 5: Solve for x
    x = 2,927,653.38/2,143.18
  6. Step 6: Final answer
    x = 1,366.03

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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.