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Finding the Fourth Proportional to 2,465.40, 3,698.10 and 2,263.80

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Solution

The fourth proportional to 2,465.40, 3,698.10 and 2,263.80 is: 3,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.40 : 3,698.10 = 2,263.80 : x
  2. Step 2: Convert to fraction form
    2,465.40/3,698.10 = 2,263.80/x
  3. Step 3: Cross multiply
    2,465.40x = 3,698.10 × 2,263.80
  4. Step 4: Simplify right side
    2,465.40x = 8,371,758.78
  5. Step 5: Solve for x
    x = 8,371,758.78/2,465.40
  6. Step 6: Final answer
    x = 3,395.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.