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Finding the Fourth Proportional to 2,406.93, 3,609.02 and 945.28

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Solution

The fourth proportional to 2,406.93, 3,609.02 and 945.28 is: 1,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.93 : 3,609.02 = 945.28 : x
  2. Step 2: Convert to fraction form
    2,406.93/3,609.02 = 945.28/x
  3. Step 3: Cross multiply
    2,406.93x = 3,609.02 × 945.28
  4. Step 4: Simplify right side
    2,406.93x = 3,411,541.30
  5. Step 5: Solve for x
    x = 3,411,541.30/2,406.93
  6. Step 6: Final answer
    x = 1,417.39

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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.