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Finding the Fourth Proportional to 2,313.63, 3,471.80 and 1,390.95

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Solution

The fourth proportional to 2,313.63, 3,471.80 and 1,390.95 is: 2,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.63 : 3,471.80 = 1,390.95 : x
  2. Step 2: Convert to fraction form
    2,313.63/3,471.80 = 1,390.95/x
  3. Step 3: Cross multiply
    2,313.63x = 3,471.80 × 1,390.95
  4. Step 4: Simplify right side
    2,313.63x = 4,829,093.26
  5. Step 5: Solve for x
    x = 4,829,093.26/2,313.63
  6. Step 6: Final answer
    x = 2,087.24

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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.