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Finding the Fourth Proportional to 1,820.69, 2,512.47 and 1,024.08

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Solution

The fourth proportional to 1,820.69, 2,512.47 and 1,024.08 is: 1,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.69 : 2,512.47 = 1,024.08 : x
  2. Step 2: Convert to fraction form
    1,820.69/2,512.47 = 1,024.08/x
  3. Step 3: Cross multiply
    1,820.69x = 2,512.47 × 1,024.08
  4. Step 4: Simplify right side
    1,820.69x = 2,572,973.86
  5. Step 5: Solve for x
    x = 2,572,973.86/1,820.69
  6. Step 6: Final answer
    x = 1,413.19

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