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Finding the Fourth Proportional to 1,725.84, 2,382 and 1,594.08

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Solution

The fourth proportional to 1,725.84, 2,382 and 1,594.08 is: 2,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.84 : 2,382 = 1,594.08 : x
  2. Step 2: Convert to fraction form
    1,725.84/2,382 = 1,594.08/x
  3. Step 3: Cross multiply
    1,725.84x = 2,382 × 1,594.08
  4. Step 4: Simplify right side
    1,725.84x = 3,797,098.56
  5. Step 5: Solve for x
    x = 3,797,098.56/1,725.84
  6. Step 6: Final answer
    x = 2,200.15

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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.