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Finding the Fourth Proportional to 3,312.86, 4,970.37 and 1,773.50

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Solution

The fourth proportional to 3,312.86, 4,970.37 and 1,773.50 is: 2,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.86 : 4,970.37 = 1,773.50 : x
  2. Step 2: Convert to fraction form
    3,312.86/4,970.37 = 1,773.50/x
  3. Step 3: Cross multiply
    3,312.86x = 4,970.37 × 1,773.50
  4. Step 4: Simplify right side
    3,312.86x = 8,814,951.20
  5. Step 5: Solve for x
    x = 8,814,951.20/3,312.86
  6. Step 6: Final answer
    x = 2,660.83

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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.