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Finding the Fourth Proportional to 3,102.60, 4,653.90 and 3,070.20

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Solution

The fourth proportional to 3,102.60, 4,653.90 and 3,070.20 is: 4,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.60 : 4,653.90 = 3,070.20 : x
  2. Step 2: Convert to fraction form
    3,102.60/4,653.90 = 3,070.20/x
  3. Step 3: Cross multiply
    3,102.60x = 4,653.90 × 3,070.20
  4. Step 4: Simplify right side
    3,102.60x = 14,288,403.78
  5. Step 5: Solve for x
    x = 14,288,403.78/3,102.60
  6. Step 6: Final answer
    x = 4,605.30

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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.