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Finding the Fourth Proportional to 2,121.54, 2,927.67 and 1,176.99

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Solution

The fourth proportional to 2,121.54, 2,927.67 and 1,176.99 is: 1,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.54 : 2,927.67 = 1,176.99 : x
  2. Step 2: Convert to fraction form
    2,121.54/2,927.67 = 1,176.99/x
  3. Step 3: Cross multiply
    2,121.54x = 2,927.67 × 1,176.99
  4. Step 4: Simplify right side
    2,121.54x = 3,445,838.31
  5. Step 5: Solve for x
    x = 3,445,838.31/2,121.54
  6. Step 6: Final answer
    x = 1,624.22

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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.