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Finding the Fourth Proportional to 2,895.92, 4,342.52 and 1,434.50

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Solution

The fourth proportional to 2,895.92, 4,342.52 and 1,434.50 is: 2,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.92 : 4,342.52 = 1,434.50 : x
  2. Step 2: Convert to fraction form
    2,895.92/4,342.52 = 1,434.50/x
  3. Step 3: Cross multiply
    2,895.92x = 4,342.52 × 1,434.50
  4. Step 4: Simplify right side
    2,895.92x = 6,229,344.94
  5. Step 5: Solve for x
    x = 6,229,344.94/2,895.92
  6. Step 6: Final answer
    x = 2,151.08

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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.