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Finding the Fourth Proportional to 2,078.50, 3,117.77 and 597.77

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Solution

The fourth proportional to 2,078.50, 3,117.77 and 597.77 is: 896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.50 : 3,117.77 = 597.77 : x
  2. Step 2: Convert to fraction form
    2,078.50/3,117.77 = 597.77/x
  3. Step 3: Cross multiply
    2,078.50x = 3,117.77 × 597.77
  4. Step 4: Simplify right side
    2,078.50x = 1,863,709.37
  5. Step 5: Solve for x
    x = 1,863,709.37/2,078.50
  6. Step 6: Final answer
    x = 896.66

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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.