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Finding the Fourth Proportional to 1,754.96, 2,421.15 and 1,090.63

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Solution

The fourth proportional to 1,754.96, 2,421.15 and 1,090.63 is: 1,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.96 : 2,421.15 = 1,090.63 : x
  2. Step 2: Convert to fraction form
    1,754.96/2,421.15 = 1,090.63/x
  3. Step 3: Cross multiply
    1,754.96x = 2,421.15 × 1,090.63
  4. Step 4: Simplify right side
    1,754.96x = 2,640,566.72
  5. Step 5: Solve for x
    x = 2,640,566.72/1,754.96
  6. Step 6: Final answer
    x = 1,504.63

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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.