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Finding the Fourth Proportional to 3,302.80, 4,557.85 and 1,790.40

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Solution

The fourth proportional to 3,302.80, 4,557.85 and 1,790.40 is: 2,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.80 : 4,557.85 = 1,790.40 : x
  2. Step 2: Convert to fraction form
    3,302.80/4,557.85 = 1,790.40/x
  3. Step 3: Cross multiply
    3,302.80x = 4,557.85 × 1,790.40
  4. Step 4: Simplify right side
    3,302.80x = 8,160,370.16
  5. Step 5: Solve for x
    x = 8,160,370.16/3,302.80
  6. Step 6: Final answer
    x = 2,470.74

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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.