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Finding the Fourth Proportional to 1,386.21, 1,913.21 and 826.71

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Solution

The fourth proportional to 1,386.21, 1,913.21 and 826.71 is: 1,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.21 : 1,913.21 = 826.71 : x
  2. Step 2: Convert to fraction form
    1,386.21/1,913.21 = 826.71/x
  3. Step 3: Cross multiply
    1,386.21x = 1,913.21 × 826.71
  4. Step 4: Simplify right side
    1,386.21x = 1,581,665.71
  5. Step 5: Solve for x
    x = 1,581,665.71/1,386.21
  6. Step 6: Final answer
    x = 1,141.00

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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.