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Finding the Fourth Proportional to 2,390.45, 3,299.12 and 1,342.50

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Solution

The fourth proportional to 2,390.45, 3,299.12 and 1,342.50 is: 1,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.45 : 3,299.12 = 1,342.50 : x
  2. Step 2: Convert to fraction form
    2,390.45/3,299.12 = 1,342.50/x
  3. Step 3: Cross multiply
    2,390.45x = 3,299.12 × 1,342.50
  4. Step 4: Simplify right side
    2,390.45x = 4,429,061.89
  5. Step 5: Solve for x
    x = 4,429,061.89/2,390.45
  6. Step 6: Final answer
    x = 1,852.82

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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.