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Finding the Fourth Proportional to 3,095.48, 4,643.16 and 755.50

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Solution

The fourth proportional to 3,095.48, 4,643.16 and 755.50 is: 1,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.48 : 4,643.16 = 755.50 : x
  2. Step 2: Convert to fraction form
    3,095.48/4,643.16 = 755.50/x
  3. Step 3: Cross multiply
    3,095.48x = 4,643.16 × 755.50
  4. Step 4: Simplify right side
    3,095.48x = 3,507,907.38
  5. Step 5: Solve for x
    x = 3,507,907.38/3,095.48
  6. Step 6: Final answer
    x = 1,133.24

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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.