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Finding the Fourth Proportional to 1,592.63, 2,196.15 and 1,033.10

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Solution

The fourth proportional to 1,592.63, 2,196.15 and 1,033.10 is: 1,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.63 : 2,196.15 = 1,033.10 : x
  2. Step 2: Convert to fraction form
    1,592.63/2,196.15 = 1,033.10/x
  3. Step 3: Cross multiply
    1,592.63x = 2,196.15 × 1,033.10
  4. Step 4: Simplify right side
    1,592.63x = 2,268,842.57
  5. Step 5: Solve for x
    x = 2,268,842.57/1,592.63
  6. Step 6: Final answer
    x = 1,424.59

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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.