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Finding the Fourth Proportional to 1,725.26, 2,585.54 and 944.08

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Solution

The fourth proportional to 1,725.26, 2,585.54 and 944.08 is: 1,414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.26 : 2,585.54 = 944.08 : x
  2. Step 2: Convert to fraction form
    1,725.26/2,585.54 = 944.08/x
  3. Step 3: Cross multiply
    1,725.26x = 2,585.54 × 944.08
  4. Step 4: Simplify right side
    1,725.26x = 2,440,952.50
  5. Step 5: Solve for x
    x = 2,440,952.50/1,725.26
  6. Step 6: Final answer
    x = 1,414.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.