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Finding the Fourth Proportional to 1,666, 2,299.62 and 1,045

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Solution

The fourth proportional to 1,666, 2,299.62 and 1,045 is: 1,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666 : 2,299.62 = 1,045 : x
  2. Step 2: Convert to fraction form
    1,666/2,299.62 = 1,045/x
  3. Step 3: Cross multiply
    1,666x = 2,299.62 × 1,045
  4. Step 4: Simplify right side
    1,666x = 2,403,102.90
  5. Step 5: Solve for x
    x = 2,403,102.90/1,666
  6. Step 6: Final answer
    x = 1,442.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.