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Finding the Fourth Proportional to 1,815.50, 2,505.23 and 1,007.98

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Solution

The fourth proportional to 1,815.50, 2,505.23 and 1,007.98 is: 1,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.50 : 2,505.23 = 1,007.98 : x
  2. Step 2: Convert to fraction form
    1,815.50/2,505.23 = 1,007.98/x
  3. Step 3: Cross multiply
    1,815.50x = 2,505.23 × 1,007.98
  4. Step 4: Simplify right side
    1,815.50x = 2,525,210.43
  5. Step 5: Solve for x
    x = 2,525,210.43/1,815.50
  6. Step 6: Final answer
    x = 1,390.92

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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.