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Finding the Fourth Proportional to 2,314.84, 3,471.34 and 1,341.64

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Solution

The fourth proportional to 2,314.84, 3,471.34 and 1,341.64 is: 2,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.84 : 3,471.34 = 1,341.64 : x
  2. Step 2: Convert to fraction form
    2,314.84/3,471.34 = 1,341.64/x
  3. Step 3: Cross multiply
    2,314.84x = 3,471.34 × 1,341.64
  4. Step 4: Simplify right side
    2,314.84x = 4,657,288.60
  5. Step 5: Solve for x
    x = 4,657,288.60/2,314.84
  6. Step 6: Final answer
    x = 2,011.93

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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.