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Finding the Fourth Proportional to 1,926.18, 2,657.81 and 1,264.01

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Solution

The fourth proportional to 1,926.18, 2,657.81 and 1,264.01 is: 1,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.18 : 2,657.81 = 1,264.01 : x
  2. Step 2: Convert to fraction form
    1,926.18/2,657.81 = 1,264.01/x
  3. Step 3: Cross multiply
    1,926.18x = 2,657.81 × 1,264.01
  4. Step 4: Simplify right side
    1,926.18x = 3,359,488.29
  5. Step 5: Solve for x
    x = 3,359,488.29/1,926.18
  6. Step 6: Final answer
    x = 1,744.12

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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.