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Finding the Fourth Proportional to 2,423.95, 3,342.99 and 2,047.69

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Solution

The fourth proportional to 2,423.95, 3,342.99 and 2,047.69 is: 2,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.95 : 3,342.99 = 2,047.69 : x
  2. Step 2: Convert to fraction form
    2,423.95/3,342.99 = 2,047.69/x
  3. Step 3: Cross multiply
    2,423.95x = 3,342.99 × 2,047.69
  4. Step 4: Simplify right side
    2,423.95x = 6,845,400.25
  5. Step 5: Solve for x
    x = 6,845,400.25/2,423.95
  6. Step 6: Final answer
    x = 2,824.07

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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.