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Finding the Fourth Proportional to 2,589,420, 3,884,130 and 816,492

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Solution

The fourth proportional to 2,589,420, 3,884,130 and 816,492 is: 1,224,738

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,420 : 3,884,130 = 816,492 : x
  2. Step 2: Convert to fraction form
    2,589,420/3,884,130 = 816,492/x
  3. Step 3: Cross multiply
    2,589,420x = 3,884,130 × 816,492
  4. Step 4: Simplify right side
    2,589,420x = 3,171,361,071,960
  5. Step 5: Solve for x
    x = 3,171,361,071,960/2,589,420
  6. Step 6: Final answer
    x = 1,224,738

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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.