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Finding the Fourth Proportional to 2,118.63, 3,177.95 and 657.93

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Solution

The fourth proportional to 2,118.63, 3,177.95 and 657.93 is: 986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.63 : 3,177.95 = 657.93 : x
  2. Step 2: Convert to fraction form
    2,118.63/3,177.95 = 657.93/x
  3. Step 3: Cross multiply
    2,118.63x = 3,177.95 × 657.93
  4. Step 4: Simplify right side
    2,118.63x = 2,090,865.35
  5. Step 5: Solve for x
    x = 2,090,865.35/2,118.63
  6. Step 6: Final answer
    x = 986.90

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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.