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Finding the Fourth Proportional to 1,498.81, 2,069.63 and 940.21

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Solution

The fourth proportional to 1,498.81, 2,069.63 and 940.21 is: 1,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.81 : 2,069.63 = 940.21 : x
  2. Step 2: Convert to fraction form
    1,498.81/2,069.63 = 940.21/x
  3. Step 3: Cross multiply
    1,498.81x = 2,069.63 × 940.21
  4. Step 4: Simplify right side
    1,498.81x = 1,945,886.82
  5. Step 5: Solve for x
    x = 1,945,886.82/1,498.81
  6. Step 6: Final answer
    x = 1,298.29

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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.