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Finding the Fourth Proportional to 2,406.80, 3,610.23 and 946.10

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Solution

The fourth proportional to 2,406.80, 3,610.23 and 946.10 is: 1,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.80 : 3,610.23 = 946.10 : x
  2. Step 2: Convert to fraction form
    2,406.80/3,610.23 = 946.10/x
  3. Step 3: Cross multiply
    2,406.80x = 3,610.23 × 946.10
  4. Step 4: Simplify right side
    2,406.80x = 3,415,638.60
  5. Step 5: Solve for x
    x = 3,415,638.60/2,406.80
  6. Step 6: Final answer
    x = 1,419.16

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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.