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Finding the Fourth Proportional to 2,289.54, 3,159.70 and 1,294.91

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Solution

The fourth proportional to 2,289.54, 3,159.70 and 1,294.91 is: 1,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.54 : 3,159.70 = 1,294.91 : x
  2. Step 2: Convert to fraction form
    2,289.54/3,159.70 = 1,294.91/x
  3. Step 3: Cross multiply
    2,289.54x = 3,159.70 × 1,294.91
  4. Step 4: Simplify right side
    2,289.54x = 4,091,531.79
  5. Step 5: Solve for x
    x = 4,091,531.79/2,289.54
  6. Step 6: Final answer
    x = 1,787.05

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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.