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Finding the Fourth Proportional to 4,645.93, 6,969.81 and 2,048.89

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Solution

The fourth proportional to 4,645.93, 6,969.81 and 2,048.89 is: 3,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.93 : 6,969.81 = 2,048.89 : x
  2. Step 2: Convert to fraction form
    4,645.93/6,969.81 = 2,048.89/x
  3. Step 3: Cross multiply
    4,645.93x = 6,969.81 × 2,048.89
  4. Step 4: Simplify right side
    4,645.93x = 14,280,374.01
  5. Step 5: Solve for x
    x = 14,280,374.01/4,645.93
  6. Step 6: Final answer
    x = 3,073.74

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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.