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Finding the Fourth Proportional to 2,431, 3,354.68 and 1,368.94

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Solution

The fourth proportional to 2,431, 3,354.68 and 1,368.94 is: 1,889.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431 : 3,354.68 = 1,368.94 : x
  2. Step 2: Convert to fraction form
    2,431/3,354.68 = 1,368.94/x
  3. Step 3: Cross multiply
    2,431x = 3,354.68 × 1,368.94
  4. Step 4: Simplify right side
    2,431x = 4,592,355.64
  5. Step 5: Solve for x
    x = 4,592,355.64/2,431
  6. Step 6: Final answer
    x = 1,889.08

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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.