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Finding the Fourth Proportional to 1,512.05, 2,268.66 and 588.26

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Solution

The fourth proportional to 1,512.05, 2,268.66 and 588.26 is: 882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.05 : 2,268.66 = 588.26 : x
  2. Step 2: Convert to fraction form
    1,512.05/2,268.66 = 588.26/x
  3. Step 3: Cross multiply
    1,512.05x = 2,268.66 × 588.26
  4. Step 4: Simplify right side
    1,512.05x = 1,334,547.65
  5. Step 5: Solve for x
    x = 1,334,547.65/1,512.05
  6. Step 6: Final answer
    x = 882.61

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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.