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Finding the Fourth Proportional to 1,754.69, 2,632.03 and 456.26

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Solution

The fourth proportional to 1,754.69, 2,632.03 and 456.26 is: 684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.69 : 2,632.03 = 456.26 : x
  2. Step 2: Convert to fraction form
    1,754.69/2,632.03 = 456.26/x
  3. Step 3: Cross multiply
    1,754.69x = 2,632.03 × 456.26
  4. Step 4: Simplify right side
    1,754.69x = 1,200,875.71
  5. Step 5: Solve for x
    x = 1,200,875.71/1,754.69
  6. Step 6: Final answer
    x = 684.38

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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.