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Finding the Fourth Proportional to 3,095.23, 4,642.79 and 755.25

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Solution

The fourth proportional to 3,095.23, 4,642.79 and 755.25 is: 1,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.23 : 4,642.79 = 755.25 : x
  2. Step 2: Convert to fraction form
    3,095.23/4,642.79 = 755.25/x
  3. Step 3: Cross multiply
    3,095.23x = 4,642.79 × 755.25
  4. Step 4: Simplify right side
    3,095.23x = 3,506,463.37
  5. Step 5: Solve for x
    x = 3,506,463.37/3,095.23
  6. Step 6: Final answer
    x = 1,132.86

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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.