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Finding the Fourth Proportional to 2,135.40, 2,946.79 and 1,191.22

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Solution

The fourth proportional to 2,135.40, 2,946.79 and 1,191.22 is: 1,643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.40 : 2,946.79 = 1,191.22 : x
  2. Step 2: Convert to fraction form
    2,135.40/2,946.79 = 1,191.22/x
  3. Step 3: Cross multiply
    2,135.40x = 2,946.79 × 1,191.22
  4. Step 4: Simplify right side
    2,135.40x = 3,510,275.18
  5. Step 5: Solve for x
    x = 3,510,275.18/2,135.40
  6. Step 6: Final answer
    x = 1,643.85

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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.