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Finding the Fourth Proportional to 2,366.06, 3,263.40 and 1,736.40

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Solution

The fourth proportional to 2,366.06, 3,263.40 and 1,736.40 is: 2,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.06 : 3,263.40 = 1,736.40 : x
  2. Step 2: Convert to fraction form
    2,366.06/3,263.40 = 1,736.40/x
  3. Step 3: Cross multiply
    2,366.06x = 3,263.40 × 1,736.40
  4. Step 4: Simplify right side
    2,366.06x = 5,666,567.76
  5. Step 5: Solve for x
    x = 5,666,567.76/2,366.06
  6. Step 6: Final answer
    x = 2,394.94

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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.