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Finding the Fourth Proportional to 4,304.43, 6,454.45 and 1,530.69

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Solution

The fourth proportional to 4,304.43, 6,454.45 and 1,530.69 is: 2,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.43 : 6,454.45 = 1,530.69 : x
  2. Step 2: Convert to fraction form
    4,304.43/6,454.45 = 1,530.69/x
  3. Step 3: Cross multiply
    4,304.43x = 6,454.45 × 1,530.69
  4. Step 4: Simplify right side
    4,304.43x = 9,879,754.42
  5. Step 5: Solve for x
    x = 9,879,754.42/4,304.43
  6. Step 6: Final answer
    x = 2,295.25

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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.