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Finding the Fourth Proportional to 1,757.42, 2,637.05 and 1,140.98

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Solution

The fourth proportional to 1,757.42, 2,637.05 and 1,140.98 is: 1,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.42 : 2,637.05 = 1,140.98 : x
  2. Step 2: Convert to fraction form
    1,757.42/2,637.05 = 1,140.98/x
  3. Step 3: Cross multiply
    1,757.42x = 2,637.05 × 1,140.98
  4. Step 4: Simplify right side
    1,757.42x = 3,008,821.31
  5. Step 5: Solve for x
    x = 3,008,821.31/1,757.42
  6. Step 6: Final answer
    x = 1,712.07

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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.