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Finding the Fourth Proportional to 1,685.81, 2,526.66 and 761.13

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Solution

The fourth proportional to 1,685.81, 2,526.66 and 761.13 is: 1,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.81 : 2,526.66 = 761.13 : x
  2. Step 2: Convert to fraction form
    1,685.81/2,526.66 = 761.13/x
  3. Step 3: Cross multiply
    1,685.81x = 2,526.66 × 761.13
  4. Step 4: Simplify right side
    1,685.81x = 1,923,116.73
  5. Step 5: Solve for x
    x = 1,923,116.73/1,685.81
  6. Step 6: Final answer
    x = 1,140.77

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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.