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Finding the Fourth Proportional to 3,002.60, 4,493.10 and 2,030.60

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Solution

The fourth proportional to 3,002.60, 4,493.10 and 2,030.60 is: 3,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.60 : 4,493.10 = 2,030.60 : x
  2. Step 2: Convert to fraction form
    3,002.60/4,493.10 = 2,030.60/x
  3. Step 3: Cross multiply
    3,002.60x = 4,493.10 × 2,030.60
  4. Step 4: Simplify right side
    3,002.60x = 9,123,688.86
  5. Step 5: Solve for x
    x = 9,123,688.86/3,002.60
  6. Step 6: Final answer
    x = 3,038.60

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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.