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Finding the Fourth Proportional to 1,690.70, 2,335.52 and 1,602.03

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Solution

The fourth proportional to 1,690.70, 2,335.52 and 1,602.03 is: 2,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.70 : 2,335.52 = 1,602.03 : x
  2. Step 2: Convert to fraction form
    1,690.70/2,335.52 = 1,602.03/x
  3. Step 3: Cross multiply
    1,690.70x = 2,335.52 × 1,602.03
  4. Step 4: Simplify right side
    1,690.70x = 3,741,570.48
  5. Step 5: Solve for x
    x = 3,741,570.48/1,690.70
  6. Step 6: Final answer
    x = 2,213.03

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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.