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Finding the Fourth Proportional to 3,032.63, 4,186.10 and 1,790.63

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Solution

The fourth proportional to 3,032.63, 4,186.10 and 1,790.63 is: 2,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.63 : 4,186.10 = 1,790.63 : x
  2. Step 2: Convert to fraction form
    3,032.63/4,186.10 = 1,790.63/x
  3. Step 3: Cross multiply
    3,032.63x = 4,186.10 × 1,790.63
  4. Step 4: Simplify right side
    3,032.63x = 7,495,739.79
  5. Step 5: Solve for x
    x = 7,495,739.79/3,032.63
  6. Step 6: Final answer
    x = 2,471.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.