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Finding the Fourth Proportional to 1,652.94, 2,279.43 and 1,298.25

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Solution

The fourth proportional to 1,652.94, 2,279.43 and 1,298.25 is: 1,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.94 : 2,279.43 = 1,298.25 : x
  2. Step 2: Convert to fraction form
    1,652.94/2,279.43 = 1,298.25/x
  3. Step 3: Cross multiply
    1,652.94x = 2,279.43 × 1,298.25
  4. Step 4: Simplify right side
    1,652.94x = 2,959,270.00
  5. Step 5: Solve for x
    x = 2,959,270.00/1,652.94
  6. Step 6: Final answer
    x = 1,790.31

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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.