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Finding the Fourth Proportional to 3,095.68, 4,643.50 and 755.69

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Solution

The fourth proportional to 3,095.68, 4,643.50 and 755.69 is: 1,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.68 : 4,643.50 = 755.69 : x
  2. Step 2: Convert to fraction form
    3,095.68/4,643.50 = 755.69/x
  3. Step 3: Cross multiply
    3,095.68x = 4,643.50 × 755.69
  4. Step 4: Simplify right side
    3,095.68x = 3,509,068.33
  5. Step 5: Solve for x
    x = 3,509,068.33/3,095.68
  6. Step 6: Final answer
    x = 1,133.54

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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.