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Finding the Fourth Proportional to 2,130.84, 2,942.01 and 1,738.80

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Solution

The fourth proportional to 2,130.84, 2,942.01 and 1,738.80 is: 2,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.84 : 2,942.01 = 1,738.80 : x
  2. Step 2: Convert to fraction form
    2,130.84/2,942.01 = 1,738.80/x
  3. Step 3: Cross multiply
    2,130.84x = 2,942.01 × 1,738.80
  4. Step 4: Simplify right side
    2,130.84x = 5,115,566.99
  5. Step 5: Solve for x
    x = 5,115,566.99/2,130.84
  6. Step 6: Final answer
    x = 2,400.73

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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.