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Finding the Fourth Proportional to 2,698.44, 4,047.66 and 750.66

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Solution

The fourth proportional to 2,698.44, 4,047.66 and 750.66 is: 1,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.44 : 4,047.66 = 750.66 : x
  2. Step 2: Convert to fraction form
    2,698.44/4,047.66 = 750.66/x
  3. Step 3: Cross multiply
    2,698.44x = 4,047.66 × 750.66
  4. Step 4: Simplify right side
    2,698.44x = 3,038,416.46
  5. Step 5: Solve for x
    x = 3,038,416.46/2,698.44
  6. Step 6: Final answer
    x = 1,125.99

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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.