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Finding the Fourth Proportional to 2,088.19, 3,132.48 and 701.54

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Solution

The fourth proportional to 2,088.19, 3,132.48 and 701.54 is: 1,052.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.19 : 3,132.48 = 701.54 : x
  2. Step 2: Convert to fraction form
    2,088.19/3,132.48 = 701.54/x
  3. Step 3: Cross multiply
    2,088.19x = 3,132.48 × 701.54
  4. Step 4: Simplify right side
    2,088.19x = 2,197,544.36
  5. Step 5: Solve for x
    x = 2,197,544.36/2,088.19
  6. Step 6: Final answer
    x = 1,052.37

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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.