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Finding the Fourth Proportional to 2,653.97, 3,662.62 and 1,592.06

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Solution

The fourth proportional to 2,653.97, 3,662.62 and 1,592.06 is: 2,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.97 : 3,662.62 = 1,592.06 : x
  2. Step 2: Convert to fraction form
    2,653.97/3,662.62 = 1,592.06/x
  3. Step 3: Cross multiply
    2,653.97x = 3,662.62 × 1,592.06
  4. Step 4: Simplify right side
    2,653.97x = 5,831,088.50
  5. Step 5: Solve for x
    x = 5,831,088.50/2,653.97
  6. Step 6: Final answer
    x = 2,197.12

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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.