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Finding the Fourth Proportional to 1,798.71, 2,696.95 and 701.79

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Solution

The fourth proportional to 1,798.71, 2,696.95 and 701.79 is: 1,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.71 : 2,696.95 = 701.79 : x
  2. Step 2: Convert to fraction form
    1,798.71/2,696.95 = 701.79/x
  3. Step 3: Cross multiply
    1,798.71x = 2,696.95 × 701.79
  4. Step 4: Simplify right side
    1,798.71x = 1,892,686.94
  5. Step 5: Solve for x
    x = 1,892,686.94/1,798.71
  6. Step 6: Final answer
    x = 1,052.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.