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Finding the Fourth Proportional to 2,118.03, 3,176.93 and 657.30

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Solution

The fourth proportional to 2,118.03, 3,176.93 and 657.30 is: 985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.03 : 3,176.93 = 657.30 : x
  2. Step 2: Convert to fraction form
    2,118.03/3,176.93 = 657.30/x
  3. Step 3: Cross multiply
    2,118.03x = 3,176.93 × 657.30
  4. Step 4: Simplify right side
    2,118.03x = 2,088,192.80
  5. Step 5: Solve for x
    x = 2,088,192.80/2,118.03
  6. Step 6: Final answer
    x = 985.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.