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Finding the Fourth Proportional to 2,953.80, 4,074.70 and 2,394.92

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Solution

The fourth proportional to 2,953.80, 4,074.70 and 2,394.92 is: 3,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.80 : 4,074.70 = 2,394.92 : x
  2. Step 2: Convert to fraction form
    2,953.80/4,074.70 = 2,394.92/x
  3. Step 3: Cross multiply
    2,953.80x = 4,074.70 × 2,394.92
  4. Step 4: Simplify right side
    2,953.80x = 9,758,580.52
  5. Step 5: Solve for x
    x = 9,758,580.52/2,953.80
  6. Step 6: Final answer
    x = 3,303.74

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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.