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Finding the Fourth Proportional to 1,433.03, 2,144.68 and 856.31

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Solution

The fourth proportional to 1,433.03, 2,144.68 and 856.31 is: 1,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.03 : 2,144.68 = 856.31 : x
  2. Step 2: Convert to fraction form
    1,433.03/2,144.68 = 856.31/x
  3. Step 3: Cross multiply
    1,433.03x = 2,144.68 × 856.31
  4. Step 4: Simplify right side
    1,433.03x = 1,836,498.07
  5. Step 5: Solve for x
    x = 1,836,498.07/1,433.03
  6. Step 6: Final answer
    x = 1,281.55

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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.