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Finding the Fourth Proportional to 1,579.08, 2,368.61 and 849.00

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Solution

The fourth proportional to 1,579.08, 2,368.61 and 849.00 is: 1,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.08 : 2,368.61 = 849.00 : x
  2. Step 2: Convert to fraction form
    1,579.08/2,368.61 = 849.00/x
  3. Step 3: Cross multiply
    1,579.08x = 2,368.61 × 849.00
  4. Step 4: Simplify right side
    1,579.08x = 2,010,940.17
  5. Step 5: Solve for x
    x = 2,010,940.17/1,579.08
  6. Step 6: Final answer
    x = 1,273.49

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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.