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Finding the Fourth Proportional to 2,762.16, 4,143.14 and 682.15

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Solution

The fourth proportional to 2,762.16, 4,143.14 and 682.15 is: 1,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.16 : 4,143.14 = 682.15 : x
  2. Step 2: Convert to fraction form
    2,762.16/4,143.14 = 682.15/x
  3. Step 3: Cross multiply
    2,762.16x = 4,143.14 × 682.15
  4. Step 4: Simplify right side
    2,762.16x = 2,826,242.95
  5. Step 5: Solve for x
    x = 2,826,242.95/2,762.16
  6. Step 6: Final answer
    x = 1,023.20

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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.