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Finding the Fourth Proportional to 1,802.80, 2,705.10 and 1,023.40

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Solution

The fourth proportional to 1,802.80, 2,705.10 and 1,023.40 is: 1,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.80 : 2,705.10 = 1,023.40 : x
  2. Step 2: Convert to fraction form
    1,802.80/2,705.10 = 1,023.40/x
  3. Step 3: Cross multiply
    1,802.80x = 2,705.10 × 1,023.40
  4. Step 4: Simplify right side
    1,802.80x = 2,768,399.34
  5. Step 5: Solve for x
    x = 2,768,399.34/1,802.80
  6. Step 6: Final answer
    x = 1,535.61

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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.