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Finding the Fourth Proportional to 1,582.54, 2,373.94 and 486.92

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Solution

The fourth proportional to 1,582.54, 2,373.94 and 486.92 is: 730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.54 : 2,373.94 = 486.92 : x
  2. Step 2: Convert to fraction form
    1,582.54/2,373.94 = 486.92/x
  3. Step 3: Cross multiply
    1,582.54x = 2,373.94 × 486.92
  4. Step 4: Simplify right side
    1,582.54x = 1,155,918.86
  5. Step 5: Solve for x
    x = 1,155,918.86/1,582.54
  6. Step 6: Final answer
    x = 730.42

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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.