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Finding the Fourth Proportional to 2,143.89, 2,957.58 and 1,670.99

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Solution

The fourth proportional to 2,143.89, 2,957.58 and 1,670.99 is: 2,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.89 : 2,957.58 = 1,670.99 : x
  2. Step 2: Convert to fraction form
    2,143.89/2,957.58 = 1,670.99/x
  3. Step 3: Cross multiply
    2,143.89x = 2,957.58 × 1,670.99
  4. Step 4: Simplify right side
    2,143.89x = 4,942,071.82
  5. Step 5: Solve for x
    x = 4,942,071.82/2,143.89
  6. Step 6: Final answer
    x = 2,305.19

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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.