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Finding the Fourth Proportional to 2,970.34, 4,091.93 and 2,498.24

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Solution

The fourth proportional to 2,970.34, 4,091.93 and 2,498.24 is: 3,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.34 : 4,091.93 = 2,498.24 : x
  2. Step 2: Convert to fraction form
    2,970.34/4,091.93 = 2,498.24/x
  3. Step 3: Cross multiply
    2,970.34x = 4,091.93 × 2,498.24
  4. Step 4: Simplify right side
    2,970.34x = 10,222,610.71
  5. Step 5: Solve for x
    x = 10,222,610.71/2,970.34
  6. Step 6: Final answer
    x = 3,441.57

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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.