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Finding the Fourth Proportional to 1,434.89, 2,143.62 and 910.69

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Solution

The fourth proportional to 1,434.89, 2,143.62 and 910.69 is: 1,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.89 : 2,143.62 = 910.69 : x
  2. Step 2: Convert to fraction form
    1,434.89/2,143.62 = 910.69/x
  3. Step 3: Cross multiply
    1,434.89x = 2,143.62 × 910.69
  4. Step 4: Simplify right side
    1,434.89x = 1,952,167.94
  5. Step 5: Solve for x
    x = 1,952,167.94/1,434.89
  6. Step 6: Final answer
    x = 1,360.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.