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Finding the Fourth Proportional to 2,323.10, 3,484.63 and 591.86

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Solution

The fourth proportional to 2,323.10, 3,484.63 and 591.86 is: 887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.10 : 3,484.63 = 591.86 : x
  2. Step 2: Convert to fraction form
    2,323.10/3,484.63 = 591.86/x
  3. Step 3: Cross multiply
    2,323.10x = 3,484.63 × 591.86
  4. Step 4: Simplify right side
    2,323.10x = 2,062,413.11
  5. Step 5: Solve for x
    x = 2,062,413.11/2,323.10
  6. Step 6: Final answer
    x = 887.78

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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.