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Finding the Fourth Proportional to 2,316.53, 3,471.30 and 1,391.07

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Solution

The fourth proportional to 2,316.53, 3,471.30 and 1,391.07 is: 2,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.53 : 3,471.30 = 1,391.07 : x
  2. Step 2: Convert to fraction form
    2,316.53/3,471.30 = 1,391.07/x
  3. Step 3: Cross multiply
    2,316.53x = 3,471.30 × 1,391.07
  4. Step 4: Simplify right side
    2,316.53x = 4,828,821.29
  5. Step 5: Solve for x
    x = 4,828,821.29/2,316.53
  6. Step 6: Final answer
    x = 2,084.51

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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.