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Finding the Fourth Proportional to 3,381.40, 5,068.86 and 1,430.92

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Solution

The fourth proportional to 3,381.40, 5,068.86 and 1,430.92 is: 2,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.40 : 5,068.86 = 1,430.92 : x
  2. Step 2: Convert to fraction form
    3,381.40/5,068.86 = 1,430.92/x
  3. Step 3: Cross multiply
    3,381.40x = 5,068.86 × 1,430.92
  4. Step 4: Simplify right side
    3,381.40x = 7,253,133.15
  5. Step 5: Solve for x
    x = 7,253,133.15/3,381.40
  6. Step 6: Final answer
    x = 2,145.01

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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.