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Finding the Fourth Proportional to 2,804.69, 3,866.16 and 2,095.45

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Solution

The fourth proportional to 2,804.69, 3,866.16 and 2,095.45 is: 2,888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.69 : 3,866.16 = 2,095.45 : x
  2. Step 2: Convert to fraction form
    2,804.69/3,866.16 = 2,095.45/x
  3. Step 3: Cross multiply
    2,804.69x = 3,866.16 × 2,095.45
  4. Step 4: Simplify right side
    2,804.69x = 8,101,344.97
  5. Step 5: Solve for x
    x = 8,101,344.97/2,804.69
  6. Step 6: Final answer
    x = 2,888.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.