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Finding the Fourth Proportional to 2,364.73, 3,544.49 and 977.30

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Solution

The fourth proportional to 2,364.73, 3,544.49 and 977.30 is: 1,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.73 : 3,544.49 = 977.30 : x
  2. Step 2: Convert to fraction form
    2,364.73/3,544.49 = 977.30/x
  3. Step 3: Cross multiply
    2,364.73x = 3,544.49 × 977.30
  4. Step 4: Simplify right side
    2,364.73x = 3,464,030.08
  5. Step 5: Solve for x
    x = 3,464,030.08/2,364.73
  6. Step 6: Final answer
    x = 1,464.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.