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Finding the Fourth Proportional to 2,894.64, 4,342 and 1,926.96

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Solution

The fourth proportional to 2,894.64, 4,342 and 1,926.96 is: 2,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.64 : 4,342 = 1,926.96 : x
  2. Step 2: Convert to fraction form
    2,894.64/4,342 = 1,926.96/x
  3. Step 3: Cross multiply
    2,894.64x = 4,342 × 1,926.96
  4. Step 4: Simplify right side
    2,894.64x = 8,366,860.32
  5. Step 5: Solve for x
    x = 8,366,860.32/2,894.64
  6. Step 6: Final answer
    x = 2,890.47

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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.