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Finding the Fourth Proportional to 4,682.52, 7,023.78 and 1,219.50

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Solution

The fourth proportional to 4,682.52, 7,023.78 and 1,219.50 is: 1,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.52 : 7,023.78 = 1,219.50 : x
  2. Step 2: Convert to fraction form
    4,682.52/7,023.78 = 1,219.50/x
  3. Step 3: Cross multiply
    4,682.52x = 7,023.78 × 1,219.50
  4. Step 4: Simplify right side
    4,682.52x = 8,565,499.71
  5. Step 5: Solve for x
    x = 8,565,499.71/4,682.52
  6. Step 6: Final answer
    x = 1,829.25

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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.