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Finding the Fourth Proportional to 2,361.59, 3,258.95 and 1,313.63

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Solution

The fourth proportional to 2,361.59, 3,258.95 and 1,313.63 is: 1,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.59 : 3,258.95 = 1,313.63 : x
  2. Step 2: Convert to fraction form
    2,361.59/3,258.95 = 1,313.63/x
  3. Step 3: Cross multiply
    2,361.59x = 3,258.95 × 1,313.63
  4. Step 4: Simplify right side
    2,361.59x = 4,281,031.63
  5. Step 5: Solve for x
    x = 4,281,031.63/2,361.59
  6. Step 6: Final answer
    x = 1,812.78

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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.