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Finding the Fourth Proportional to 1,573.75, 2,369.77 and 1,137.98

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Solution

The fourth proportional to 1,573.75, 2,369.77 and 1,137.98 is: 1,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.75 : 2,369.77 = 1,137.98 : x
  2. Step 2: Convert to fraction form
    1,573.75/2,369.77 = 1,137.98/x
  3. Step 3: Cross multiply
    1,573.75x = 2,369.77 × 1,137.98
  4. Step 4: Simplify right side
    1,573.75x = 2,696,760.35
  5. Step 5: Solve for x
    x = 2,696,760.35/1,573.75
  6. Step 6: Final answer
    x = 1,713.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.