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Finding the Fourth Proportional to 1,588.90, 2,378.76 and 1,179.94

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Solution

The fourth proportional to 1,588.90, 2,378.76 and 1,179.94 is: 1,766.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.90 : 2,378.76 = 1,179.94 : x
  2. Step 2: Convert to fraction form
    1,588.90/2,378.76 = 1,179.94/x
  3. Step 3: Cross multiply
    1,588.90x = 2,378.76 × 1,179.94
  4. Step 4: Simplify right side
    1,588.90x = 2,806,794.07
  5. Step 5: Solve for x
    x = 2,806,794.07/1,588.90
  6. Step 6: Final answer
    x = 1,766.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.