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Finding the Fourth Proportional to 2,407.50, 3,611.25 and 583.50

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Solution

The fourth proportional to 2,407.50, 3,611.25 and 583.50 is: 875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.50 : 3,611.25 = 583.50 : x
  2. Step 2: Convert to fraction form
    2,407.50/3,611.25 = 583.50/x
  3. Step 3: Cross multiply
    2,407.50x = 3,611.25 × 583.50
  4. Step 4: Simplify right side
    2,407.50x = 2,107,164.38
  5. Step 5: Solve for x
    x = 2,107,164.38/2,407.50
  6. Step 6: Final answer
    x = 875.25

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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.