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Finding the Fourth Proportional to 2,537.82, 3,502.40 and 1,750.50

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Solution

The fourth proportional to 2,537.82, 3,502.40 and 1,750.50 is: 2,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.82 : 3,502.40 = 1,750.50 : x
  2. Step 2: Convert to fraction form
    2,537.82/3,502.40 = 1,750.50/x
  3. Step 3: Cross multiply
    2,537.82x = 3,502.40 × 1,750.50
  4. Step 4: Simplify right side
    2,537.82x = 6,130,942.45
  5. Step 5: Solve for x
    x = 6,130,942.45/2,537.82
  6. Step 6: Final answer
    x = 2,415.83

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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.