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Finding the Fourth Proportional to 3,378.84, 5,068.32 and 1,430.68

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Solution

The fourth proportional to 3,378.84, 5,068.32 and 1,430.68 is: 2,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.84 : 5,068.32 = 1,430.68 : x
  2. Step 2: Convert to fraction form
    3,378.84/5,068.32 = 1,430.68/x
  3. Step 3: Cross multiply
    3,378.84x = 5,068.32 × 1,430.68
  4. Step 4: Simplify right side
    3,378.84x = 7,251,144.06
  5. Step 5: Solve for x
    x = 7,251,144.06/3,378.84
  6. Step 6: Final answer
    x = 2,146.05

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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.