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Finding the Fourth Proportional to 1,588.83, 2,380.62 and 1,124.31

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Solution

The fourth proportional to 1,588.83, 2,380.62 and 1,124.31 is: 1,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.83 : 2,380.62 = 1,124.31 : x
  2. Step 2: Convert to fraction form
    1,588.83/2,380.62 = 1,124.31/x
  3. Step 3: Cross multiply
    1,588.83x = 2,380.62 × 1,124.31
  4. Step 4: Simplify right side
    1,588.83x = 2,676,550.66
  5. Step 5: Solve for x
    x = 2,676,550.66/1,588.83
  6. Step 6: Final answer
    x = 1,684.60

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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.