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Finding the Fourth Proportional to 2,967.86, 4,453.53 and 1,582.22

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Solution

The fourth proportional to 2,967.86, 4,453.53 and 1,582.22 is: 2,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.86 : 4,453.53 = 1,582.22 : x
  2. Step 2: Convert to fraction form
    2,967.86/4,453.53 = 1,582.22/x
  3. Step 3: Cross multiply
    2,967.86x = 4,453.53 × 1,582.22
  4. Step 4: Simplify right side
    2,967.86x = 7,046,464.24
  5. Step 5: Solve for x
    x = 7,046,464.24/2,967.86
  6. Step 6: Final answer
    x = 2,374.26

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1.5x scale

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.