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Finding the Fourth Proportional to 1,990.74, 2,742.74 and 1,492.60

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Solution

The fourth proportional to 1,990.74, 2,742.74 and 1,492.60 is: 2,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.74 : 2,742.74 = 1,492.60 : x
  2. Step 2: Convert to fraction form
    1,990.74/2,742.74 = 1,492.60/x
  3. Step 3: Cross multiply
    1,990.74x = 2,742.74 × 1,492.60
  4. Step 4: Simplify right side
    1,990.74x = 4,093,813.72
  5. Step 5: Solve for x
    x = 4,093,813.72/1,990.74
  6. Step 6: Final answer
    x = 2,056.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.