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Finding the Fourth Proportional to 1,629.48, 2,444.22 and 588.90

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Solution

The fourth proportional to 1,629.48, 2,444.22 and 588.90 is: 883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.48 : 2,444.22 = 588.90 : x
  2. Step 2: Convert to fraction form
    1,629.48/2,444.22 = 588.90/x
  3. Step 3: Cross multiply
    1,629.48x = 2,444.22 × 588.90
  4. Step 4: Simplify right side
    1,629.48x = 1,439,401.16
  5. Step 5: Solve for x
    x = 1,439,401.16/1,629.48
  6. Step 6: Final answer
    x = 883.35

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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.