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Finding the Fourth Proportional to 3,044.70, 4,565.70 and 1,401.75

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Solution

The fourth proportional to 3,044.70, 4,565.70 and 1,401.75 is: 2,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.70 : 4,565.70 = 1,401.75 : x
  2. Step 2: Convert to fraction form
    3,044.70/4,565.70 = 1,401.75/x
  3. Step 3: Cross multiply
    3,044.70x = 4,565.70 × 1,401.75
  4. Step 4: Simplify right side
    3,044.70x = 6,399,969.98
  5. Step 5: Solve for x
    x = 6,399,969.98/3,044.70
  6. Step 6: Final answer
    x = 2,102.00

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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.