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Finding the Fourth Proportional to 2,323.48, 3,206.59 and 1,328.95

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Solution

The fourth proportional to 2,323.48, 3,206.59 and 1,328.95 is: 1,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.48 : 3,206.59 = 1,328.95 : x
  2. Step 2: Convert to fraction form
    2,323.48/3,206.59 = 1,328.95/x
  3. Step 3: Cross multiply
    2,323.48x = 3,206.59 × 1,328.95
  4. Step 4: Simplify right side
    2,323.48x = 4,261,375.10
  5. Step 5: Solve for x
    x = 4,261,375.10/2,323.48
  6. Step 6: Final answer
    x = 1,834.05

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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.