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Finding the Fourth Proportional to 2,354.21, 3,248.56 and 1,409.81

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Solution

The fourth proportional to 2,354.21, 3,248.56 and 1,409.81 is: 1,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.21 : 3,248.56 = 1,409.81 : x
  2. Step 2: Convert to fraction form
    2,354.21/3,248.56 = 1,409.81/x
  3. Step 3: Cross multiply
    2,354.21x = 3,248.56 × 1,409.81
  4. Step 4: Simplify right side
    2,354.21x = 4,579,852.37
  5. Step 5: Solve for x
    x = 4,579,852.37/2,354.21
  6. Step 6: Final answer
    x = 1,945.39

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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.