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Finding the Fourth Proportional to 1,802.77, 2,703.54 and 828.34

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Solution

The fourth proportional to 1,802.77, 2,703.54 and 828.34 is: 1,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.77 : 2,703.54 = 828.34 : x
  2. Step 2: Convert to fraction form
    1,802.77/2,703.54 = 828.34/x
  3. Step 3: Cross multiply
    1,802.77x = 2,703.54 × 828.34
  4. Step 4: Simplify right side
    1,802.77x = 2,239,450.32
  5. Step 5: Solve for x
    x = 2,239,450.32/1,802.77
  6. Step 6: Final answer
    x = 1,242.23

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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.