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Finding the Fourth Proportional to 1,802.96, 2,706.74 and 981.81

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Solution

The fourth proportional to 1,802.96, 2,706.74 and 981.81 is: 1,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.96 : 2,706.74 = 981.81 : x
  2. Step 2: Convert to fraction form
    1,802.96/2,706.74 = 981.81/x
  3. Step 3: Cross multiply
    1,802.96x = 2,706.74 × 981.81
  4. Step 4: Simplify right side
    1,802.96x = 2,657,499.49
  5. Step 5: Solve for x
    x = 2,657,499.49/1,802.96
  6. Step 6: Final answer
    x = 1,473.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.