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Finding the Fourth Proportional to 1,600.49, 2,206.68 and 1,335.32

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Solution

The fourth proportional to 1,600.49, 2,206.68 and 1,335.32 is: 1,841.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.49 : 2,206.68 = 1,335.32 : x
  2. Step 2: Convert to fraction form
    1,600.49/2,206.68 = 1,335.32/x
  3. Step 3: Cross multiply
    1,600.49x = 2,206.68 × 1,335.32
  4. Step 4: Simplify right side
    1,600.49x = 2,946,612.90
  5. Step 5: Solve for x
    x = 2,946,612.90/1,600.49
  6. Step 6: Final answer
    x = 1,841.07

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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.