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Finding the Fourth Proportional to 1,585.30, 2,379.09 and 611.63

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Solution

The fourth proportional to 1,585.30, 2,379.09 and 611.63 is: 917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.30 : 2,379.09 = 611.63 : x
  2. Step 2: Convert to fraction form
    1,585.30/2,379.09 = 611.63/x
  3. Step 3: Cross multiply
    1,585.30x = 2,379.09 × 611.63
  4. Step 4: Simplify right side
    1,585.30x = 1,455,122.82
  5. Step 5: Solve for x
    x = 1,455,122.82/1,585.30
  6. Step 6: Final answer
    x = 917.88

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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.