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Finding the Fourth Proportional to 2,129.05, 2,938.61 and 1,420.93

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Solution

The fourth proportional to 2,129.05, 2,938.61 and 1,420.93 is: 1,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.05 : 2,938.61 = 1,420.93 : x
  2. Step 2: Convert to fraction form
    2,129.05/2,938.61 = 1,420.93/x
  3. Step 3: Cross multiply
    2,129.05x = 2,938.61 × 1,420.93
  4. Step 4: Simplify right side
    2,129.05x = 4,175,552.00
  5. Step 5: Solve for x
    x = 4,175,552.00/2,129.05
  6. Step 6: Final answer
    x = 1,961.23

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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.