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Finding the Fourth Proportional to 3,073.42, 4,602.03 and 1,823.05

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Solution

The fourth proportional to 3,073.42, 4,602.03 and 1,823.05 is: 2,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.42 : 4,602.03 = 1,823.05 : x
  2. Step 2: Convert to fraction form
    3,073.42/4,602.03 = 1,823.05/x
  3. Step 3: Cross multiply
    3,073.42x = 4,602.03 × 1,823.05
  4. Step 4: Simplify right side
    3,073.42x = 8,389,730.79
  5. Step 5: Solve for x
    x = 8,389,730.79/3,073.42
  6. Step 6: Final answer
    x = 2,729.77

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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.