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Finding the Fourth Proportional to 3,125, 4,312.50 and 1,727.88

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Solution

The fourth proportional to 3,125, 4,312.50 and 1,727.88 is: 2,384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125 : 4,312.50 = 1,727.88 : x
  2. Step 2: Convert to fraction form
    3,125/4,312.50 = 1,727.88/x
  3. Step 3: Cross multiply
    3,125x = 4,312.50 × 1,727.88
  4. Step 4: Simplify right side
    3,125x = 7,451,482.50
  5. Step 5: Solve for x
    x = 7,451,482.50/3,125
  6. Step 6: Final answer
    x = 2,384.47

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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.