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Finding the Fourth Proportional to 1,406.86, 1,940.36 and 1,312.54

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Solution

The fourth proportional to 1,406.86, 1,940.36 and 1,312.54 is: 1,810.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.86 : 1,940.36 = 1,312.54 : x
  2. Step 2: Convert to fraction form
    1,406.86/1,940.36 = 1,312.54/x
  3. Step 3: Cross multiply
    1,406.86x = 1,940.36 × 1,312.54
  4. Step 4: Simplify right side
    1,406.86x = 2,546,795.98
  5. Step 5: Solve for x
    x = 2,546,795.98/1,406.86
  6. Step 6: Final answer
    x = 1,810.27

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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.