Home / 1,582.67-2,185.23-1,023.46

Finding the Fourth Proportional to 1,582.67, 2,185.23 and 1,023.46

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Solution

The fourth proportional to 1,582.67, 2,185.23 and 1,023.46 is: 1,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.67 : 2,185.23 = 1,023.46 : x
  2. Step 2: Convert to fraction form
    1,582.67/2,185.23 = 1,023.46/x
  3. Step 3: Cross multiply
    1,582.67x = 2,185.23 × 1,023.46
  4. Step 4: Simplify right side
    1,582.67x = 2,236,484.57
  5. Step 5: Solve for x
    x = 2,236,484.57/1,582.67
  6. Step 6: Final answer
    x = 1,413.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.