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Finding the Fourth Proportional to 4,302.54, 6,454.80 and 1,340.84

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Solution

The fourth proportional to 4,302.54, 6,454.80 and 1,340.84 is: 2,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.54 : 6,454.80 = 1,340.84 : x
  2. Step 2: Convert to fraction form
    4,302.54/6,454.80 = 1,340.84/x
  3. Step 3: Cross multiply
    4,302.54x = 6,454.80 × 1,340.84
  4. Step 4: Simplify right side
    4,302.54x = 8,654,870.17
  5. Step 5: Solve for x
    x = 8,654,870.17/4,302.54
  6. Step 6: Final answer
    x = 2,011.57

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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.