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Finding the Fourth Proportional to 2,395.75, 3,594.02 and 751.87

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Solution

The fourth proportional to 2,395.75, 3,594.02 and 751.87 is: 1,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.75 : 3,594.02 = 751.87 : x
  2. Step 2: Convert to fraction form
    2,395.75/3,594.02 = 751.87/x
  3. Step 3: Cross multiply
    2,395.75x = 3,594.02 × 751.87
  4. Step 4: Simplify right side
    2,395.75x = 2,702,235.82
  5. Step 5: Solve for x
    x = 2,702,235.82/2,395.75
  6. Step 6: Final answer
    x = 1,127.93

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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.