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Finding the Fourth Proportional to 1,825.80, 2,520.36 and 1,302.54

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Solution

The fourth proportional to 1,825.80, 2,520.36 and 1,302.54 is: 1,798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.80 : 2,520.36 = 1,302.54 : x
  2. Step 2: Convert to fraction form
    1,825.80/2,520.36 = 1,302.54/x
  3. Step 3: Cross multiply
    1,825.80x = 2,520.36 × 1,302.54
  4. Step 4: Simplify right side
    1,825.80x = 3,282,869.71
  5. Step 5: Solve for x
    x = 3,282,869.71/1,825.80
  6. Step 6: Final answer
    x = 1,798.04

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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.