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Finding the Fourth Proportional to 1,802.91, 2,706.39 and 983.19

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Solution

The fourth proportional to 1,802.91, 2,706.39 and 983.19 is: 1,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.91 : 2,706.39 = 983.19 : x
  2. Step 2: Convert to fraction form
    1,802.91/2,706.39 = 983.19/x
  3. Step 3: Cross multiply
    1,802.91x = 2,706.39 × 983.19
  4. Step 4: Simplify right side
    1,802.91x = 2,660,895.58
  5. Step 5: Solve for x
    x = 2,660,895.58/1,802.91
  6. Step 6: Final answer
    x = 1,475.89

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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.