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Finding the Fourth Proportional to 3,405.48, 4,699.54 and 1,990.14

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Solution

The fourth proportional to 3,405.48, 4,699.54 and 1,990.14 is: 2,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.48 : 4,699.54 = 1,990.14 : x
  2. Step 2: Convert to fraction form
    3,405.48/4,699.54 = 1,990.14/x
  3. Step 3: Cross multiply
    3,405.48x = 4,699.54 × 1,990.14
  4. Step 4: Simplify right side
    3,405.48x = 9,352,742.54
  5. Step 5: Solve for x
    x = 9,352,742.54/3,405.48
  6. Step 6: Final answer
    x = 2,746.38

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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.