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Finding the Fourth Proportional to 1,618.47, 2,233.49 and 1,029.35

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Solution

The fourth proportional to 1,618.47, 2,233.49 and 1,029.35 is: 1,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.47 : 2,233.49 = 1,029.35 : x
  2. Step 2: Convert to fraction form
    1,618.47/2,233.49 = 1,029.35/x
  3. Step 3: Cross multiply
    1,618.47x = 2,233.49 × 1,029.35
  4. Step 4: Simplify right side
    1,618.47x = 2,299,042.93
  5. Step 5: Solve for x
    x = 2,299,042.93/1,618.47
  6. Step 6: Final answer
    x = 1,420.50

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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.