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Finding the Fourth Proportional to 1,883.41, 2,824.95 and 584.75

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Solution

The fourth proportional to 1,883.41, 2,824.95 and 584.75 is: 877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.41 : 2,824.95 = 584.75 : x
  2. Step 2: Convert to fraction form
    1,883.41/2,824.95 = 584.75/x
  3. Step 3: Cross multiply
    1,883.41x = 2,824.95 × 584.75
  4. Step 4: Simplify right side
    1,883.41x = 1,651,889.51
  5. Step 5: Solve for x
    x = 1,651,889.51/1,883.41
  6. Step 6: Final answer
    x = 877.07

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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.