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Finding the Fourth Proportional to 2,096.60, 3,140.10 and 2,048.60

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Solution

The fourth proportional to 2,096.60, 3,140.10 and 2,048.60 is: 3,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.60 : 3,140.10 = 2,048.60 : x
  2. Step 2: Convert to fraction form
    2,096.60/3,140.10 = 2,048.60/x
  3. Step 3: Cross multiply
    2,096.60x = 3,140.10 × 2,048.60
  4. Step 4: Simplify right side
    2,096.60x = 6,432,808.86
  5. Step 5: Solve for x
    x = 6,432,808.86/2,096.60
  6. Step 6: Final answer
    x = 3,068.21

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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.