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Finding the Fourth Proportional to 2,985.45, 4,478.96 and 905.51

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Solution

The fourth proportional to 2,985.45, 4,478.96 and 905.51 is: 1,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.45 : 4,478.96 = 905.51 : x
  2. Step 2: Convert to fraction form
    2,985.45/4,478.96 = 905.51/x
  3. Step 3: Cross multiply
    2,985.45x = 4,478.96 × 905.51
  4. Step 4: Simplify right side
    2,985.45x = 4,055,756.53
  5. Step 5: Solve for x
    x = 4,055,756.53/2,985.45
  6. Step 6: Final answer
    x = 1,358.51

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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.