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Finding the Fourth Proportional to 1,433.90, 2,148.32 and 1,020.90

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Solution

The fourth proportional to 1,433.90, 2,148.32 and 1,020.90 is: 1,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.90 : 2,148.32 = 1,020.90 : x
  2. Step 2: Convert to fraction form
    1,433.90/2,148.32 = 1,020.90/x
  3. Step 3: Cross multiply
    1,433.90x = 2,148.32 × 1,020.90
  4. Step 4: Simplify right side
    1,433.90x = 2,193,230.50
  5. Step 5: Solve for x
    x = 2,193,230.50/1,433.90
  6. Step 6: Final answer
    x = 1,529.55

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Why These Related Problems?

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