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Finding the Fourth Proportional to 3,296.95, 4,549.98 and 1,880.40

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Solution

The fourth proportional to 3,296.95, 4,549.98 and 1,880.40 is: 2,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.95 : 4,549.98 = 1,880.40 : x
  2. Step 2: Convert to fraction form
    3,296.95/4,549.98 = 1,880.40/x
  3. Step 3: Cross multiply
    3,296.95x = 4,549.98 × 1,880.40
  4. Step 4: Simplify right side
    3,296.95x = 8,555,782.39
  5. Step 5: Solve for x
    x = 8,555,782.39/3,296.95
  6. Step 6: Final answer
    x = 2,595.06

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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.