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Finding the Fourth Proportional to 2,648.49, 3,970.14 and 1,261.45

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Solution

The fourth proportional to 2,648.49, 3,970.14 and 1,261.45 is: 1,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.49 : 3,970.14 = 1,261.45 : x
  2. Step 2: Convert to fraction form
    2,648.49/3,970.14 = 1,261.45/x
  3. Step 3: Cross multiply
    2,648.49x = 3,970.14 × 1,261.45
  4. Step 4: Simplify right side
    2,648.49x = 5,008,113.25
  5. Step 5: Solve for x
    x = 5,008,113.25/2,648.49
  6. Step 6: Final answer
    x = 1,890.94

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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.