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Finding the Fourth Proportional to 2,361.79, 3,253.63 and 1,652.31

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Solution

The fourth proportional to 2,361.79, 3,253.63 and 1,652.31 is: 2,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.79 : 3,253.63 = 1,652.31 : x
  2. Step 2: Convert to fraction form
    2,361.79/3,253.63 = 1,652.31/x
  3. Step 3: Cross multiply
    2,361.79x = 3,253.63 × 1,652.31
  4. Step 4: Simplify right side
    2,361.79x = 5,376,005.39
  5. Step 5: Solve for x
    x = 5,376,005.39/2,361.79
  6. Step 6: Final answer
    x = 2,276.24

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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.