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Finding the Fourth Proportional to 1,392.39, 2,089.59 and 931.05

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Solution

The fourth proportional to 1,392.39, 2,089.59 and 931.05 is: 1,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.39 : 2,089.59 = 931.05 : x
  2. Step 2: Convert to fraction form
    1,392.39/2,089.59 = 931.05/x
  3. Step 3: Cross multiply
    1,392.39x = 2,089.59 × 931.05
  4. Step 4: Simplify right side
    1,392.39x = 1,945,512.77
  5. Step 5: Solve for x
    x = 1,945,512.77/1,392.39
  6. Step 6: Final answer
    x = 1,397.25

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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.