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Finding the Fourth Proportional to 1,802.12, 2,706.26 and 981.99

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Solution

The fourth proportional to 1,802.12, 2,706.26 and 981.99 is: 1,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.12 : 2,706.26 = 981.99 : x
  2. Step 2: Convert to fraction form
    1,802.12/2,706.26 = 981.99/x
  3. Step 3: Cross multiply
    1,802.12x = 2,706.26 × 981.99
  4. Step 4: Simplify right side
    1,802.12x = 2,657,515.35
  5. Step 5: Solve for x
    x = 2,657,515.35/1,802.12
  6. Step 6: Final answer
    x = 1,474.66

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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.