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Finding the Fourth Proportional to 2,351.94, 3,510.74 and 2,180.63

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Solution

The fourth proportional to 2,351.94, 3,510.74 and 2,180.63 is: 3,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.94 : 3,510.74 = 2,180.63 : x
  2. Step 2: Convert to fraction form
    2,351.94/3,510.74 = 2,180.63/x
  3. Step 3: Cross multiply
    2,351.94x = 3,510.74 × 2,180.63
  4. Step 4: Simplify right side
    2,351.94x = 7,655,596.51
  5. Step 5: Solve for x
    x = 7,655,596.51/2,351.94
  6. Step 6: Final answer
    x = 3,255.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.