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Finding the Fourth Proportional to 2,237.69, 3,088 and 1,293.47

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Solution

The fourth proportional to 2,237.69, 3,088 and 1,293.47 is: 1,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.69 : 3,088 = 1,293.47 : x
  2. Step 2: Convert to fraction form
    2,237.69/3,088 = 1,293.47/x
  3. Step 3: Cross multiply
    2,237.69x = 3,088 × 1,293.47
  4. Step 4: Simplify right side
    2,237.69x = 3,994,235.36
  5. Step 5: Solve for x
    x = 3,994,235.36/2,237.69
  6. Step 6: Final answer
    x = 1,784.98

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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.