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Finding the Fourth Proportional to 1,751.29, 2,416.43 and 1,161.47

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Solution

The fourth proportional to 1,751.29, 2,416.43 and 1,161.47 is: 1,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.29 : 2,416.43 = 1,161.47 : x
  2. Step 2: Convert to fraction form
    1,751.29/2,416.43 = 1,161.47/x
  3. Step 3: Cross multiply
    1,751.29x = 2,416.43 × 1,161.47
  4. Step 4: Simplify right side
    1,751.29x = 2,806,619.90
  5. Step 5: Solve for x
    x = 2,806,619.90/1,751.29
  6. Step 6: Final answer
    x = 1,602.60

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