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Finding the Fourth Proportional to 2,969.84, 4,452.06 and 1,237.52

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Solution

The fourth proportional to 2,969.84, 4,452.06 and 1,237.52 is: 1,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.84 : 4,452.06 = 1,237.52 : x
  2. Step 2: Convert to fraction form
    2,969.84/4,452.06 = 1,237.52/x
  3. Step 3: Cross multiply
    2,969.84x = 4,452.06 × 1,237.52
  4. Step 4: Simplify right side
    2,969.84x = 5,509,513.29
  5. Step 5: Solve for x
    x = 5,509,513.29/2,969.84
  6. Step 6: Final answer
    x = 1,855.15

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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.