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Finding the Fourth Proportional to 2,552.64, 3,527.04 and 2,032.80

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Solution

The fourth proportional to 2,552.64, 3,527.04 and 2,032.80 is: 2,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.64 : 3,527.04 = 2,032.80 : x
  2. Step 2: Convert to fraction form
    2,552.64/3,527.04 = 2,032.80/x
  3. Step 3: Cross multiply
    2,552.64x = 3,527.04 × 2,032.80
  4. Step 4: Simplify right side
    2,552.64x = 7,169,766.91
  5. Step 5: Solve for x
    x = 7,169,766.91/2,552.64
  6. Step 6: Final answer
    x = 2,808.77

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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.