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Finding the Fourth Proportional to 1,722.88, 2,582.75 and 627.01

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Solution

The fourth proportional to 1,722.88, 2,582.75 and 627.01 is: 939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.88 : 2,582.75 = 627.01 : x
  2. Step 2: Convert to fraction form
    1,722.88/2,582.75 = 627.01/x
  3. Step 3: Cross multiply
    1,722.88x = 2,582.75 × 627.01
  4. Step 4: Simplify right side
    1,722.88x = 1,619,394.03
  5. Step 5: Solve for x
    x = 1,619,394.03/1,722.88
  6. Step 6: Final answer
    x = 939.93

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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.