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Finding the Fourth Proportional to 2,035.55, 3,053.55 and 802.80

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Solution

The fourth proportional to 2,035.55, 3,053.55 and 802.80 is: 1,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.55 : 3,053.55 = 802.80 : x
  2. Step 2: Convert to fraction form
    2,035.55/3,053.55 = 802.80/x
  3. Step 3: Cross multiply
    2,035.55x = 3,053.55 × 802.80
  4. Step 4: Simplify right side
    2,035.55x = 2,451,389.94
  5. Step 5: Solve for x
    x = 2,451,389.94/2,035.55
  6. Step 6: Final answer
    x = 1,204.29

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1.5x scale

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.