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Finding the Fourth Proportional to 2,599.63, 3,585.27 and 2,032.63

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Solution

The fourth proportional to 2,599.63, 3,585.27 and 2,032.63 is: 2,803.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.63 : 3,585.27 = 2,032.63 : x
  2. Step 2: Convert to fraction form
    2,599.63/3,585.27 = 2,032.63/x
  3. Step 3: Cross multiply
    2,599.63x = 3,585.27 × 2,032.63
  4. Step 4: Simplify right side
    2,599.63x = 7,287,527.36
  5. Step 5: Solve for x
    x = 7,287,527.36/2,599.63
  6. Step 6: Final answer
    x = 2,803.29

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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.