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Finding the Fourth Proportional to 1,579.95, 2,369.93 and 849.87

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Solution

The fourth proportional to 1,579.95, 2,369.93 and 849.87 is: 1,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.95 : 2,369.93 = 849.87 : x
  2. Step 2: Convert to fraction form
    1,579.95/2,369.93 = 849.87/x
  3. Step 3: Cross multiply
    1,579.95x = 2,369.93 × 849.87
  4. Step 4: Simplify right side
    1,579.95x = 2,014,128.16
  5. Step 5: Solve for x
    x = 2,014,128.16/1,579.95
  6. Step 6: Final answer
    x = 1,274.81

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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.