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Finding the Fourth Proportional to 1,513.71, 2,089.71 and 1,018.96

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Solution

The fourth proportional to 1,513.71, 2,089.71 and 1,018.96 is: 1,406.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.71 : 2,089.71 = 1,018.96 : x
  2. Step 2: Convert to fraction form
    1,513.71/2,089.71 = 1,018.96/x
  3. Step 3: Cross multiply
    1,513.71x = 2,089.71 × 1,018.96
  4. Step 4: Simplify right side
    1,513.71x = 2,129,325.68
  5. Step 5: Solve for x
    x = 2,129,325.68/1,513.71
  6. Step 6: Final answer
    x = 1,406.69

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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.