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Finding the Fourth Proportional to 1,705.37, 2,353.51 and 1,042.03

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Solution

The fourth proportional to 1,705.37, 2,353.51 and 1,042.03 is: 1,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.37 : 2,353.51 = 1,042.03 : x
  2. Step 2: Convert to fraction form
    1,705.37/2,353.51 = 1,042.03/x
  3. Step 3: Cross multiply
    1,705.37x = 2,353.51 × 1,042.03
  4. Step 4: Simplify right side
    1,705.37x = 2,452,426.41
  5. Step 5: Solve for x
    x = 2,452,426.41/1,705.37
  6. Step 6: Final answer
    x = 1,438.06

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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.