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Finding the Fourth Proportional to 2,069.69, 3,105.54 and 973.89

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Solution

The fourth proportional to 2,069.69, 3,105.54 and 973.89 is: 1,461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.69 : 3,105.54 = 973.89 : x
  2. Step 2: Convert to fraction form
    2,069.69/3,105.54 = 973.89/x
  3. Step 3: Cross multiply
    2,069.69x = 3,105.54 × 973.89
  4. Step 4: Simplify right side
    2,069.69x = 3,024,454.35
  5. Step 5: Solve for x
    x = 3,024,454.35/2,069.69
  6. Step 6: Final answer
    x = 1,461.31

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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.