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Finding the Fourth Proportional to 2,894.52, 4,342.84 and 1,725.18

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Solution

The fourth proportional to 2,894.52, 4,342.84 and 1,725.18 is: 2,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.52 : 4,342.84 = 1,725.18 : x
  2. Step 2: Convert to fraction form
    2,894.52/4,342.84 = 1,725.18/x
  3. Step 3: Cross multiply
    2,894.52x = 4,342.84 × 1,725.18
  4. Step 4: Simplify right side
    2,894.52x = 7,492,172.09
  5. Step 5: Solve for x
    x = 7,492,172.09/2,894.52
  6. Step 6: Final answer
    x = 2,588.40

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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.