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Finding the Fourth Proportional to 3,044.84, 4,567.82 and 1,401.56

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Solution

The fourth proportional to 3,044.84, 4,567.82 and 1,401.56 is: 2,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.84 : 4,567.82 = 1,401.56 : x
  2. Step 2: Convert to fraction form
    3,044.84/4,567.82 = 1,401.56/x
  3. Step 3: Cross multiply
    3,044.84x = 4,567.82 × 1,401.56
  4. Step 4: Simplify right side
    3,044.84x = 6,402,073.80
  5. Step 5: Solve for x
    x = 6,402,073.80/3,044.84
  6. Step 6: Final answer
    x = 2,102.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.