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Finding the Fourth Proportional to 2,308.95, 3,463.77 and 847.76

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Solution

The fourth proportional to 2,308.95, 3,463.77 and 847.76 is: 1,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.95 : 3,463.77 = 847.76 : x
  2. Step 2: Convert to fraction form
    2,308.95/3,463.77 = 847.76/x
  3. Step 3: Cross multiply
    2,308.95x = 3,463.77 × 847.76
  4. Step 4: Simplify right side
    2,308.95x = 2,936,428.34
  5. Step 5: Solve for x
    x = 2,936,428.34/2,308.95
  6. Step 6: Final answer
    x = 1,271.76

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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.