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Finding the Fourth Proportional to 2,482.67, 3,706.24 and 2,396.10

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Solution

The fourth proportional to 2,482.67, 3,706.24 and 2,396.10 is: 3,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.67 : 3,706.24 = 2,396.10 : x
  2. Step 2: Convert to fraction form
    2,482.67/3,706.24 = 2,396.10/x
  3. Step 3: Cross multiply
    2,482.67x = 3,706.24 × 2,396.10
  4. Step 4: Simplify right side
    2,482.67x = 8,880,521.66
  5. Step 5: Solve for x
    x = 8,880,521.66/2,482.67
  6. Step 6: Final answer
    x = 3,577.00

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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.