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Finding the Fourth Proportional to 2,117.52, 3,176.37 and 657.66

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Solution

The fourth proportional to 2,117.52, 3,176.37 and 657.66 is: 986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.52 : 3,176.37 = 657.66 : x
  2. Step 2: Convert to fraction form
    2,117.52/3,176.37 = 657.66/x
  3. Step 3: Cross multiply
    2,117.52x = 3,176.37 × 657.66
  4. Step 4: Simplify right side
    2,117.52x = 2,088,971.49
  5. Step 5: Solve for x
    x = 2,088,971.49/2,117.52
  6. Step 6: Final answer
    x = 986.52

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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.