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Finding the Fourth Proportional to 2,433, 3,648.96 and 971.76

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Solution

The fourth proportional to 2,433, 3,648.96 and 971.76 is: 1,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433 : 3,648.96 = 971.76 : x
  2. Step 2: Convert to fraction form
    2,433/3,648.96 = 971.76/x
  3. Step 3: Cross multiply
    2,433x = 3,648.96 × 971.76
  4. Step 4: Simplify right side
    2,433x = 3,545,913.37
  5. Step 5: Solve for x
    x = 3,545,913.37/2,433
  6. Step 6: Final answer
    x = 1,457.42

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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.