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Finding the Fourth Proportional to 2,124.23, 2,928.96 and 1,840.05

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Solution

The fourth proportional to 2,124.23, 2,928.96 and 1,840.05 is: 2,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.23 : 2,928.96 = 1,840.05 : x
  2. Step 2: Convert to fraction form
    2,124.23/2,928.96 = 1,840.05/x
  3. Step 3: Cross multiply
    2,124.23x = 2,928.96 × 1,840.05
  4. Step 4: Simplify right side
    2,124.23x = 5,389,432.85
  5. Step 5: Solve for x
    x = 5,389,432.85/2,124.23
  6. Step 6: Final answer
    x = 2,537.13

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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.