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Finding the Fourth Proportional to 1,760.81, 2,637.76 and 1,347.93

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Solution

The fourth proportional to 1,760.81, 2,637.76 and 1,347.93 is: 2,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.81 : 2,637.76 = 1,347.93 : x
  2. Step 2: Convert to fraction form
    1,760.81/2,637.76 = 1,347.93/x
  3. Step 3: Cross multiply
    1,760.81x = 2,637.76 × 1,347.93
  4. Step 4: Simplify right side
    1,760.81x = 3,555,506.07
  5. Step 5: Solve for x
    x = 3,555,506.07/1,760.81
  6. Step 6: Final answer
    x = 2,019.24

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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.