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Finding the Fourth Proportional to 1,732.13, 2,598.26 and 692.63

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Solution

The fourth proportional to 1,732.13, 2,598.26 and 692.63 is: 1,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.13 : 2,598.26 = 692.63 : x
  2. Step 2: Convert to fraction form
    1,732.13/2,598.26 = 692.63/x
  3. Step 3: Cross multiply
    1,732.13x = 2,598.26 × 692.63
  4. Step 4: Simplify right side
    1,732.13x = 1,799,632.82
  5. Step 5: Solve for x
    x = 1,799,632.82/1,732.13
  6. Step 6: Final answer
    x = 1,038.97

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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.