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Finding the Fourth Proportional to 2,367.54, 3,266.01 and 1,582.74

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Solution

The fourth proportional to 2,367.54, 3,266.01 and 1,582.74 is: 2,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.54 : 3,266.01 = 1,582.74 : x
  2. Step 2: Convert to fraction form
    2,367.54/3,266.01 = 1,582.74/x
  3. Step 3: Cross multiply
    2,367.54x = 3,266.01 × 1,582.74
  4. Step 4: Simplify right side
    2,367.54x = 5,169,244.67
  5. Step 5: Solve for x
    x = 5,169,244.67/2,367.54
  6. Step 6: Final answer
    x = 2,183.38

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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.