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Finding the Fourth Proportional to 2,459.60, 3,397 and 1,906.76

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Solution

The fourth proportional to 2,459.60, 3,397 and 1,906.76 is: 2,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.60 : 3,397 = 1,906.76 : x
  2. Step 2: Convert to fraction form
    2,459.60/3,397 = 1,906.76/x
  3. Step 3: Cross multiply
    2,459.60x = 3,397 × 1,906.76
  4. Step 4: Simplify right side
    2,459.60x = 6,477,263.72
  5. Step 5: Solve for x
    x = 6,477,263.72/2,459.60
  6. Step 6: Final answer
    x = 2,633.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.