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Finding the Fourth Proportional to 1,727.69, 2,590.02 and 753.03

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Solution

The fourth proportional to 1,727.69, 2,590.02 and 753.03 is: 1,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.69 : 2,590.02 = 753.03 : x
  2. Step 2: Convert to fraction form
    1,727.69/2,590.02 = 753.03/x
  3. Step 3: Cross multiply
    1,727.69x = 2,590.02 × 753.03
  4. Step 4: Simplify right side
    1,727.69x = 1,950,362.76
  5. Step 5: Solve for x
    x = 1,950,362.76/1,727.69
  6. Step 6: Final answer
    x = 1,128.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.