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Finding the Fourth Proportional to 1,585.73, 2,188.08 and 996.46

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Solution

The fourth proportional to 1,585.73, 2,188.08 and 996.46 is: 1,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.73 : 2,188.08 = 996.46 : x
  2. Step 2: Convert to fraction form
    1,585.73/2,188.08 = 996.46/x
  3. Step 3: Cross multiply
    1,585.73x = 2,188.08 × 996.46
  4. Step 4: Simplify right side
    1,585.73x = 2,180,328.73
  5. Step 5: Solve for x
    x = 2,180,328.73/1,585.73
  6. Step 6: Final answer
    x = 1,374.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.