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Finding the Fourth Proportional to 1,736.30, 2,602.63 and 1,078.18

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Solution

The fourth proportional to 1,736.30, 2,602.63 and 1,078.18 is: 1,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.30 : 2,602.63 = 1,078.18 : x
  2. Step 2: Convert to fraction form
    1,736.30/2,602.63 = 1,078.18/x
  3. Step 3: Cross multiply
    1,736.30x = 2,602.63 × 1,078.18
  4. Step 4: Simplify right side
    1,736.30x = 2,806,098.45
  5. Step 5: Solve for x
    x = 2,806,098.45/1,736.30
  6. Step 6: Final answer
    x = 1,616.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.