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Finding the Fourth Proportional to 1,761.30, 2,651.48 and 1,582.70

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Solution

The fourth proportional to 1,761.30, 2,651.48 and 1,582.70 is: 2,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.30 : 2,651.48 = 1,582.70 : x
  2. Step 2: Convert to fraction form
    1,761.30/2,651.48 = 1,582.70/x
  3. Step 3: Cross multiply
    1,761.30x = 2,651.48 × 1,582.70
  4. Step 4: Simplify right side
    1,761.30x = 4,196,476.23
  5. Step 5: Solve for x
    x = 4,196,476.23/1,761.30
  6. Step 6: Final answer
    x = 2,382.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.