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Finding the Fourth Proportional to 1,582.23, 2,371.23 and 852.33

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Solution

The fourth proportional to 1,582.23, 2,371.23 and 852.33 is: 1,277.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.23 : 2,371.23 = 852.33 : x
  2. Step 2: Convert to fraction form
    1,582.23/2,371.23 = 852.33/x
  3. Step 3: Cross multiply
    1,582.23x = 2,371.23 × 852.33
  4. Step 4: Simplify right side
    1,582.23x = 2,021,070.47
  5. Step 5: Solve for x
    x = 2,021,070.47/1,582.23
  6. Step 6: Final answer
    x = 1,277.36

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1.5x scale

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.