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Finding the Fourth Proportional to 2,784.46, 3,842.55 and 1,525.59

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Solution

The fourth proportional to 2,784.46, 3,842.55 and 1,525.59 is: 2,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.46 : 3,842.55 = 1,525.59 : x
  2. Step 2: Convert to fraction form
    2,784.46/3,842.55 = 1,525.59/x
  3. Step 3: Cross multiply
    2,784.46x = 3,842.55 × 1,525.59
  4. Step 4: Simplify right side
    2,784.46x = 5,862,165.46
  5. Step 5: Solve for x
    x = 5,862,165.46/2,784.46
  6. Step 6: Final answer
    x = 2,105.32

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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.