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Finding the Fourth Proportional to 1,722.67, 2,374.72 and 1,059.01

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Solution

The fourth proportional to 1,722.67, 2,374.72 and 1,059.01 is: 1,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.67 : 2,374.72 = 1,059.01 : x
  2. Step 2: Convert to fraction form
    1,722.67/2,374.72 = 1,059.01/x
  3. Step 3: Cross multiply
    1,722.67x = 2,374.72 × 1,059.01
  4. Step 4: Simplify right side
    1,722.67x = 2,514,843.64
  5. Step 5: Solve for x
    x = 2,514,843.64/1,722.67
  6. Step 6: Final answer
    x = 1,459.85

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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.