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Finding the Fourth Proportional to 2,537.16, 3,504.03 and 1,742.59

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Solution

The fourth proportional to 2,537.16, 3,504.03 and 1,742.59 is: 2,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.16 : 3,504.03 = 1,742.59 : x
  2. Step 2: Convert to fraction form
    2,537.16/3,504.03 = 1,742.59/x
  3. Step 3: Cross multiply
    2,537.16x = 3,504.03 × 1,742.59
  4. Step 4: Simplify right side
    2,537.16x = 6,106,090.33
  5. Step 5: Solve for x
    x = 6,106,090.33/2,537.16
  6. Step 6: Final answer
    x = 2,406.66

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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.