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Finding the Fourth Proportional to 3,005.83, 4,502.70 and 1,500.31

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Solution

The fourth proportional to 3,005.83, 4,502.70 and 1,500.31 is: 2,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.83 : 4,502.70 = 1,500.31 : x
  2. Step 2: Convert to fraction form
    3,005.83/4,502.70 = 1,500.31/x
  3. Step 3: Cross multiply
    3,005.83x = 4,502.70 × 1,500.31
  4. Step 4: Simplify right side
    3,005.83x = 6,755,445.84
  5. Step 5: Solve for x
    x = 6,755,445.84/3,005.83
  6. Step 6: Final answer
    x = 2,247.45

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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.