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Finding the Fourth Proportional to 2,176.74, 3,004.89 and 1,505.25

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Solution

The fourth proportional to 2,176.74, 3,004.89 and 1,505.25 is: 2,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.74 : 3,004.89 = 1,505.25 : x
  2. Step 2: Convert to fraction form
    2,176.74/3,004.89 = 1,505.25/x
  3. Step 3: Cross multiply
    2,176.74x = 3,004.89 × 1,505.25
  4. Step 4: Simplify right side
    2,176.74x = 4,523,110.67
  5. Step 5: Solve for x
    x = 4,523,110.67/2,176.74
  6. Step 6: Final answer
    x = 2,077.93

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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.