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Finding the Fourth Proportional to 1,977.48, 2,954.61 and 1,544.94

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Solution

The fourth proportional to 1,977.48, 2,954.61 and 1,544.94 is: 2,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.48 : 2,954.61 = 1,544.94 : x
  2. Step 2: Convert to fraction form
    1,977.48/2,954.61 = 1,544.94/x
  3. Step 3: Cross multiply
    1,977.48x = 2,954.61 × 1,544.94
  4. Step 4: Simplify right side
    1,977.48x = 4,564,695.17
  5. Step 5: Solve for x
    x = 4,564,695.17/1,977.48
  6. Step 6: Final answer
    x = 2,308.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.