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Finding the Fourth Proportional to 1,219.87, 1,829.76 and 977.93

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Solution

The fourth proportional to 1,219.87, 1,829.76 and 977.93 is: 1,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.87 : 1,829.76 = 977.93 : x
  2. Step 2: Convert to fraction form
    1,219.87/1,829.76 = 977.93/x
  3. Step 3: Cross multiply
    1,219.87x = 1,829.76 × 977.93
  4. Step 4: Simplify right side
    1,219.87x = 1,789,377.20
  5. Step 5: Solve for x
    x = 1,789,377.20/1,219.87
  6. Step 6: Final answer
    x = 1,466.86

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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.