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Finding the Fourth Proportional to 2,927.09, 4,384.04 and 2,053.49

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Solution

The fourth proportional to 2,927.09, 4,384.04 and 2,053.49 is: 3,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.09 : 4,384.04 = 2,053.49 : x
  2. Step 2: Convert to fraction form
    2,927.09/4,384.04 = 2,053.49/x
  3. Step 3: Cross multiply
    2,927.09x = 4,384.04 × 2,053.49
  4. Step 4: Simplify right side
    2,927.09x = 9,002,560.38
  5. Step 5: Solve for x
    x = 9,002,560.38/2,927.09
  6. Step 6: Final answer
    x = 3,075.60

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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.