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Finding the Fourth Proportional to 2,999.84, 4,496.00 and 1,904.51

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Solution

The fourth proportional to 2,999.84, 4,496.00 and 1,904.51 is: 2,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.84 : 4,496.00 = 1,904.51 : x
  2. Step 2: Convert to fraction form
    2,999.84/4,496.00 = 1,904.51/x
  3. Step 3: Cross multiply
    2,999.84x = 4,496.00 × 1,904.51
  4. Step 4: Simplify right side
    2,999.84x = 8,562,678.68
  5. Step 5: Solve for x
    x = 8,562,678.68/2,999.84
  6. Step 6: Final answer
    x = 2,854.38

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Why These Related Problems?

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