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Finding the Fourth Proportional to 2,583.46, 3,565.20 and 1,464.43

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Solution

The fourth proportional to 2,583.46, 3,565.20 and 1,464.43 is: 2,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.46 : 3,565.20 = 1,464.43 : x
  2. Step 2: Convert to fraction form
    2,583.46/3,565.20 = 1,464.43/x
  3. Step 3: Cross multiply
    2,583.46x = 3,565.20 × 1,464.43
  4. Step 4: Simplify right side
    2,583.46x = 5,220,985.84
  5. Step 5: Solve for x
    x = 5,220,985.84/2,583.46
  6. Step 6: Final answer
    x = 2,020.93

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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.