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Finding the Fourth Proportional to 1,494.36, 2,056.31 and 1,354.63

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Solution

The fourth proportional to 1,494.36, 2,056.31 and 1,354.63 is: 1,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.36 : 2,056.31 = 1,354.63 : x
  2. Step 2: Convert to fraction form
    1,494.36/2,056.31 = 1,354.63/x
  3. Step 3: Cross multiply
    1,494.36x = 2,056.31 × 1,354.63
  4. Step 4: Simplify right side
    1,494.36x = 2,785,539.22
  5. Step 5: Solve for x
    x = 2,785,539.22/1,494.36
  6. Step 6: Final answer
    x = 1,864.03

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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.