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Finding the Fourth Proportional to 2,361.99, 3,259.35 and 1,314.03

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Solution

The fourth proportional to 2,361.99, 3,259.35 and 1,314.03 is: 1,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.99 : 3,259.35 = 1,314.03 : x
  2. Step 2: Convert to fraction form
    2,361.99/3,259.35 = 1,314.03/x
  3. Step 3: Cross multiply
    2,361.99x = 3,259.35 × 1,314.03
  4. Step 4: Simplify right side
    2,361.99x = 4,282,883.68
  5. Step 5: Solve for x
    x = 4,282,883.68/2,361.99
  6. Step 6: Final answer
    x = 1,813.25

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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.