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Finding the Fourth Proportional to 2,323.56, 3,204.37 and 2,155.89

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Solution

The fourth proportional to 2,323.56, 3,204.37 and 2,155.89 is: 2,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.56 : 3,204.37 = 2,155.89 : x
  2. Step 2: Convert to fraction form
    2,323.56/3,204.37 = 2,155.89/x
  3. Step 3: Cross multiply
    2,323.56x = 3,204.37 × 2,155.89
  4. Step 4: Simplify right side
    2,323.56x = 6,908,269.24
  5. Step 5: Solve for x
    x = 6,908,269.24/2,323.56
  6. Step 6: Final answer
    x = 2,973.14

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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.