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Finding the Fourth Proportional to 1,841.80, 2,763 and 917.40

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Solution

The fourth proportional to 1,841.80, 2,763 and 917.40 is: 1,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.80 : 2,763 = 917.40 : x
  2. Step 2: Convert to fraction form
    1,841.80/2,763 = 917.40/x
  3. Step 3: Cross multiply
    1,841.80x = 2,763 × 917.40
  4. Step 4: Simplify right side
    1,841.80x = 2,534,776.20
  5. Step 5: Solve for x
    x = 2,534,776.20/1,841.80
  6. Step 6: Final answer
    x = 1,376.25

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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.