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Finding the Fourth Proportional to 4,102.32, 6,156.06 and 1,880.82

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Solution

The fourth proportional to 4,102.32, 6,156.06 and 1,880.82 is: 2,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.32 : 6,156.06 = 1,880.82 : x
  2. Step 2: Convert to fraction form
    4,102.32/6,156.06 = 1,880.82/x
  3. Step 3: Cross multiply
    4,102.32x = 6,156.06 × 1,880.82
  4. Step 4: Simplify right side
    4,102.32x = 11,578,440.77
  5. Step 5: Solve for x
    x = 11,578,440.77/4,102.32
  6. Step 6: Final answer
    x = 2,822.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.