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Finding the Fourth Proportional to 1,362.80, 1,841.40 and 1,362.80

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Solution

The fourth proportional to 1,362.80, 1,841.40 and 1,362.80 is: 1,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.80 : 1,841.40 = 1,362.80 : x
  2. Step 2: Convert to fraction form
    1,362.80/1,841.40 = 1,362.80/x
  3. Step 3: Cross multiply
    1,362.80x = 1,841.40 × 1,362.80
  4. Step 4: Simplify right side
    1,362.80x = 2,509,459.92
  5. Step 5: Solve for x
    x = 2,509,459.92/1,362.80
  6. Step 6: Final answer
    x = 1,841.40

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.