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Finding the Fourth Proportional to 1,723, 2,589.30 and 1,029.80

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Solution

The fourth proportional to 1,723, 2,589.30 and 1,029.80 is: 1,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723 : 2,589.30 = 1,029.80 : x
  2. Step 2: Convert to fraction form
    1,723/2,589.30 = 1,029.80/x
  3. Step 3: Cross multiply
    1,723x = 2,589.30 × 1,029.80
  4. Step 4: Simplify right side
    1,723x = 2,666,461.14
  5. Step 5: Solve for x
    x = 2,666,461.14/1,723
  6. Step 6: Final answer
    x = 1,547.57

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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.