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Finding the Fourth Proportional to 1,927.68, 2,887.04 and 1,513.92

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Solution

The fourth proportional to 1,927.68, 2,887.04 and 1,513.92 is: 2,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.68 : 2,887.04 = 1,513.92 : x
  2. Step 2: Convert to fraction form
    1,927.68/2,887.04 = 1,513.92/x
  3. Step 3: Cross multiply
    1,927.68x = 2,887.04 × 1,513.92
  4. Step 4: Simplify right side
    1,927.68x = 4,370,747.60
  5. Step 5: Solve for x
    x = 4,370,747.60/1,927.68
  6. Step 6: Final answer
    x = 2,267.36

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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.