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Finding the Fourth Proportional to 1,705.51, 2,560.31 and 1,156.03

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Solution

The fourth proportional to 1,705.51, 2,560.31 and 1,156.03 is: 1,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.51 : 2,560.31 = 1,156.03 : x
  2. Step 2: Convert to fraction form
    1,705.51/2,560.31 = 1,156.03/x
  3. Step 3: Cross multiply
    1,705.51x = 2,560.31 × 1,156.03
  4. Step 4: Simplify right side
    1,705.51x = 2,959,782.37
  5. Step 5: Solve for x
    x = 2,959,782.37/1,705.51
  6. Step 6: Final answer
    x = 1,735.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.