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Finding the Fourth Proportional to 2,186.68, 3,280.02 and 647.56

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Solution

The fourth proportional to 2,186.68, 3,280.02 and 647.56 is: 971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.68 : 3,280.02 = 647.56 : x
  2. Step 2: Convert to fraction form
    2,186.68/3,280.02 = 647.56/x
  3. Step 3: Cross multiply
    2,186.68x = 3,280.02 × 647.56
  4. Step 4: Simplify right side
    2,186.68x = 2,124,009.75
  5. Step 5: Solve for x
    x = 2,124,009.75/2,186.68
  6. Step 6: Final answer
    x = 971.34

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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.