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Finding the Fourth Proportional to 1,887.24, 2,829.24 and 913.80

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Solution

The fourth proportional to 1,887.24, 2,829.24 and 913.80 is: 1,369.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.24 : 2,829.24 = 913.80 : x
  2. Step 2: Convert to fraction form
    1,887.24/2,829.24 = 913.80/x
  3. Step 3: Cross multiply
    1,887.24x = 2,829.24 × 913.80
  4. Step 4: Simplify right side
    1,887.24x = 2,585,359.51
  5. Step 5: Solve for x
    x = 2,585,359.51/1,887.24
  6. Step 6: Final answer
    x = 1,369.92

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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.