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Finding the Fourth Proportional to 1,802.44, 2,698.86 and 976.84

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Solution

The fourth proportional to 1,802.44, 2,698.86 and 976.84 is: 1,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.44 : 2,698.86 = 976.84 : x
  2. Step 2: Convert to fraction form
    1,802.44/2,698.86 = 976.84/x
  3. Step 3: Cross multiply
    1,802.44x = 2,698.86 × 976.84
  4. Step 4: Simplify right side
    1,802.44x = 2,636,354.40
  5. Step 5: Solve for x
    x = 2,636,354.40/1,802.44
  6. Step 6: Final answer
    x = 1,462.66

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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.