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Finding the Fourth Proportional to 1,842.03, 2,762.90 and 802.78

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Solution

The fourth proportional to 1,842.03, 2,762.90 and 802.78 is: 1,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.03 : 2,762.90 = 802.78 : x
  2. Step 2: Convert to fraction form
    1,842.03/2,762.90 = 802.78/x
  3. Step 3: Cross multiply
    1,842.03x = 2,762.90 × 802.78
  4. Step 4: Simplify right side
    1,842.03x = 2,217,997.47
  5. Step 5: Solve for x
    x = 2,217,997.47/1,842.03
  6. Step 6: Final answer
    x = 1,204.10

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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.