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Finding the Fourth Proportional to 2,896.76, 4,345.69 and 949.08

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Solution

The fourth proportional to 2,896.76, 4,345.69 and 949.08 is: 1,423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.76 : 4,345.69 = 949.08 : x
  2. Step 2: Convert to fraction form
    2,896.76/4,345.69 = 949.08/x
  3. Step 3: Cross multiply
    2,896.76x = 4,345.69 × 949.08
  4. Step 4: Simplify right side
    2,896.76x = 4,124,407.47
  5. Step 5: Solve for x
    x = 4,124,407.47/2,896.76
  6. Step 6: Final answer
    x = 1,423.80

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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.