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Finding the Fourth Proportional to 1,647.68, 2,272.83 and 975.25

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Solution

The fourth proportional to 1,647.68, 2,272.83 and 975.25 is: 1,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.68 : 2,272.83 = 975.25 : x
  2. Step 2: Convert to fraction form
    1,647.68/2,272.83 = 975.25/x
  3. Step 3: Cross multiply
    1,647.68x = 2,272.83 × 975.25
  4. Step 4: Simplify right side
    1,647.68x = 2,216,563.86
  5. Step 5: Solve for x
    x = 2,216,563.86/1,647.68
  6. Step 6: Final answer
    x = 1,345.27

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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.