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Finding the Fourth Proportional to 2,802.14, 4,203.21 and 854.35

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Solution

The fourth proportional to 2,802.14, 4,203.21 and 854.35 is: 1,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.14 : 4,203.21 = 854.35 : x
  2. Step 2: Convert to fraction form
    2,802.14/4,203.21 = 854.35/x
  3. Step 3: Cross multiply
    2,802.14x = 4,203.21 × 854.35
  4. Step 4: Simplify right side
    2,802.14x = 3,590,987.18
  5. Step 5: Solve for x
    x = 3,590,987.18/2,802.14
  6. Step 6: Final answer
    x = 1,281.52

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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.