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Finding the Fourth Proportional to 1,585.71, 2,389.49 and 1,511.55

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Solution

The fourth proportional to 1,585.71, 2,389.49 and 1,511.55 is: 2,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.71 : 2,389.49 = 1,511.55 : x
  2. Step 2: Convert to fraction form
    1,585.71/2,389.49 = 1,511.55/x
  3. Step 3: Cross multiply
    1,585.71x = 2,389.49 × 1,511.55
  4. Step 4: Simplify right side
    1,585.71x = 3,611,837.39
  5. Step 5: Solve for x
    x = 3,611,837.39/1,585.71
  6. Step 6: Final answer
    x = 2,277.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.