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Finding the Fourth Proportional to 1,969.27, 2,953.95 and 582.60

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Solution

The fourth proportional to 1,969.27, 2,953.95 and 582.60 is: 873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.27 : 2,953.95 = 582.60 : x
  2. Step 2: Convert to fraction form
    1,969.27/2,953.95 = 582.60/x
  3. Step 3: Cross multiply
    1,969.27x = 2,953.95 × 582.60
  4. Step 4: Simplify right side
    1,969.27x = 1,720,980.16
  5. Step 5: Solve for x
    x = 1,720,980.16/1,969.27
  6. Step 6: Final answer
    x = 873.92

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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.