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Finding the Fourth Proportional to 2,135.34, 2,946.63 and 1,203.66

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Solution

The fourth proportional to 2,135.34, 2,946.63 and 1,203.66 is: 1,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.34 : 2,946.63 = 1,203.66 : x
  2. Step 2: Convert to fraction form
    2,135.34/2,946.63 = 1,203.66/x
  3. Step 3: Cross multiply
    2,135.34x = 2,946.63 × 1,203.66
  4. Step 4: Simplify right side
    2,135.34x = 3,546,740.67
  5. Step 5: Solve for x
    x = 3,546,740.67/2,135.34
  6. Step 6: Final answer
    x = 1,660.97

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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.