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Finding the Fourth Proportional to 3,072.50, 4,240.44 and 1,830.50

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Solution

The fourth proportional to 3,072.50, 4,240.44 and 1,830.50 is: 2,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.50 : 4,240.44 = 1,830.50 : x
  2. Step 2: Convert to fraction form
    3,072.50/4,240.44 = 1,830.50/x
  3. Step 3: Cross multiply
    3,072.50x = 4,240.44 × 1,830.50
  4. Step 4: Simplify right side
    3,072.50x = 7,762,125.42
  5. Step 5: Solve for x
    x = 7,762,125.42/3,072.50
  6. Step 6: Final answer
    x = 2,526.32

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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.