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Finding the Fourth Proportional to 2,120.93, 2,926.90 and 1,176.74

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Solution

The fourth proportional to 2,120.93, 2,926.90 and 1,176.74 is: 1,623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.93 : 2,926.90 = 1,176.74 : x
  2. Step 2: Convert to fraction form
    2,120.93/2,926.90 = 1,176.74/x
  3. Step 3: Cross multiply
    2,120.93x = 2,926.90 × 1,176.74
  4. Step 4: Simplify right side
    2,120.93x = 3,444,185.67
  5. Step 5: Solve for x
    x = 3,444,185.67/2,120.93
  6. Step 6: Final answer
    x = 1,623.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.