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Finding the Fourth Proportional to 2,316.18, 3,474.08 and 910.63

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Solution

The fourth proportional to 2,316.18, 3,474.08 and 910.63 is: 1,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.18 : 3,474.08 = 910.63 : x
  2. Step 2: Convert to fraction form
    2,316.18/3,474.08 = 910.63/x
  3. Step 3: Cross multiply
    2,316.18x = 3,474.08 × 910.63
  4. Step 4: Simplify right side
    2,316.18x = 3,163,601.47
  5. Step 5: Solve for x
    x = 3,163,601.47/2,316.18
  6. Step 6: Final answer
    x = 1,365.87

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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.