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Finding the Fourth Proportional to 2,618.28, 3,612.71 and 1,733.63

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Solution

The fourth proportional to 2,618.28, 3,612.71 and 1,733.63 is: 2,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.28 : 3,612.71 = 1,733.63 : x
  2. Step 2: Convert to fraction form
    2,618.28/3,612.71 = 1,733.63/x
  3. Step 3: Cross multiply
    2,618.28x = 3,612.71 × 1,733.63
  4. Step 4: Simplify right side
    2,618.28x = 6,263,075.71
  5. Step 5: Solve for x
    x = 6,263,075.71/2,618.28
  6. Step 6: Final answer
    x = 2,392.06

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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.