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Finding the Fourth Proportional to 1,910.79, 2,869.60 and 1,564.79

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Solution

The fourth proportional to 1,910.79, 2,869.60 and 1,564.79 is: 2,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.79 : 2,869.60 = 1,564.79 : x
  2. Step 2: Convert to fraction form
    1,910.79/2,869.60 = 1,564.79/x
  3. Step 3: Cross multiply
    1,910.79x = 2,869.60 × 1,564.79
  4. Step 4: Simplify right side
    1,910.79x = 4,490,321.38
  5. Step 5: Solve for x
    x = 4,490,321.38/1,910.79
  6. Step 6: Final answer
    x = 2,349.98

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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.