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Finding the Fourth Proportional to 2,826.94, 4,239.04 and 977.40

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Solution

The fourth proportional to 2,826.94, 4,239.04 and 977.40 is: 1,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.94 : 4,239.04 = 977.40 : x
  2. Step 2: Convert to fraction form
    2,826.94/4,239.04 = 977.40/x
  3. Step 3: Cross multiply
    2,826.94x = 4,239.04 × 977.40
  4. Step 4: Simplify right side
    2,826.94x = 4,143,237.70
  5. Step 5: Solve for x
    x = 4,143,237.70/2,826.94
  6. Step 6: Final answer
    x = 1,465.63

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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.