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Finding the Fourth Proportional to 1,602.39, 2,398.94 and 1,435.65

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Solution

The fourth proportional to 1,602.39, 2,398.94 and 1,435.65 is: 2,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.39 : 2,398.94 = 1,435.65 : x
  2. Step 2: Convert to fraction form
    1,602.39/2,398.94 = 1,435.65/x
  3. Step 3: Cross multiply
    1,602.39x = 2,398.94 × 1,435.65
  4. Step 4: Simplify right side
    1,602.39x = 3,444,031.03
  5. Step 5: Solve for x
    x = 3,444,031.03/1,602.39
  6. Step 6: Final answer
    x = 2,149.31

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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.