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Finding the Fourth Proportional to 1,406.35, 1,940.00 and 846.48

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Solution

The fourth proportional to 1,406.35, 1,940.00 and 846.48 is: 1,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.35 : 1,940.00 = 846.48 : x
  2. Step 2: Convert to fraction form
    1,406.35/1,940.00 = 846.48/x
  3. Step 3: Cross multiply
    1,406.35x = 1,940.00 × 846.48
  4. Step 4: Simplify right side
    1,406.35x = 1,642,166.97
  5. Step 5: Solve for x
    x = 1,642,166.97/1,406.35
  6. Step 6: Final answer
    x = 1,167.68

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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.