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Finding the Fourth Proportional to 2,490.83, 3,706.84 and 2,407.78

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Solution

The fourth proportional to 2,490.83, 3,706.84 and 2,407.78 is: 3,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.83 : 3,706.84 = 2,407.78 : x
  2. Step 2: Convert to fraction form
    2,490.83/3,706.84 = 2,407.78/x
  3. Step 3: Cross multiply
    2,490.83x = 3,706.84 × 2,407.78
  4. Step 4: Simplify right side
    2,490.83x = 8,925,236.92
  5. Step 5: Solve for x
    x = 8,925,236.92/2,490.83
  6. Step 6: Final answer
    x = 3,583.24

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Why These Related Problems?

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