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Finding the Fourth Proportional to 1,961.40, 2,698.98 and 1,810.44

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Solution

The fourth proportional to 1,961.40, 2,698.98 and 1,810.44 is: 2,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.40 : 2,698.98 = 1,810.44 : x
  2. Step 2: Convert to fraction form
    1,961.40/2,698.98 = 1,810.44/x
  3. Step 3: Cross multiply
    1,961.40x = 2,698.98 × 1,810.44
  4. Step 4: Simplify right side
    1,961.40x = 4,886,341.35
  5. Step 5: Solve for x
    x = 4,886,341.35/1,961.40
  6. Step 6: Final answer
    x = 2,491.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.