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Finding the Fourth Proportional to 1,868.81, 2,803.23 and 1,223.64

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Solution

The fourth proportional to 1,868.81, 2,803.23 and 1,223.64 is: 1,835.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.81 : 2,803.23 = 1,223.64 : x
  2. Step 2: Convert to fraction form
    1,868.81/2,803.23 = 1,223.64/x
  3. Step 3: Cross multiply
    1,868.81x = 2,803.23 × 1,223.64
  4. Step 4: Simplify right side
    1,868.81x = 3,430,144.36
  5. Step 5: Solve for x
    x = 3,430,144.36/1,868.81
  6. Step 6: Final answer
    x = 1,835.47

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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.