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Finding the Fourth Proportional to 1,582.46, 2,183.80 and 874.29

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Solution

The fourth proportional to 1,582.46, 2,183.80 and 874.29 is: 1,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.46 : 2,183.80 = 874.29 : x
  2. Step 2: Convert to fraction form
    1,582.46/2,183.80 = 874.29/x
  3. Step 3: Cross multiply
    1,582.46x = 2,183.80 × 874.29
  4. Step 4: Simplify right side
    1,582.46x = 1,909,279.96
  5. Step 5: Solve for x
    x = 1,909,279.96/1,582.46
  6. Step 6: Final answer
    x = 1,206.53

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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.