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Finding the Fourth Proportional to 2,875.50, 4,304.84 and 2,184.88

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Solution

The fourth proportional to 2,875.50, 4,304.84 and 2,184.88 is: 3,270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.50 : 4,304.84 = 2,184.88 : x
  2. Step 2: Convert to fraction form
    2,875.50/4,304.84 = 2,184.88/x
  3. Step 3: Cross multiply
    2,875.50x = 4,304.84 × 2,184.88
  4. Step 4: Simplify right side
    2,875.50x = 9,405,558.82
  5. Step 5: Solve for x
    x = 9,405,558.82/2,875.50
  6. Step 6: Final answer
    x = 3,270.93

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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.