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Finding the Fourth Proportional to 2,592.99, 3,886.24 and 2,043

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Solution

The fourth proportional to 2,592.99, 3,886.24 and 2,043 is: 3,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.99 : 3,886.24 = 2,043 : x
  2. Step 2: Convert to fraction form
    2,592.99/3,886.24 = 2,043/x
  3. Step 3: Cross multiply
    2,592.99x = 3,886.24 × 2,043
  4. Step 4: Simplify right side
    2,592.99x = 7,939,588.32
  5. Step 5: Solve for x
    x = 7,939,588.32/2,592.99
  6. Step 6: Final answer
    x = 3,061.94

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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.