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Finding the Fourth Proportional to 1,627.59, 2,435.99 and 1,300.71

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Solution

The fourth proportional to 1,627.59, 2,435.99 and 1,300.71 is: 1,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.59 : 2,435.99 = 1,300.71 : x
  2. Step 2: Convert to fraction form
    1,627.59/2,435.99 = 1,300.71/x
  3. Step 3: Cross multiply
    1,627.59x = 2,435.99 × 1,300.71
  4. Step 4: Simplify right side
    1,627.59x = 3,168,510.05
  5. Step 5: Solve for x
    x = 3,168,510.05/1,627.59
  6. Step 6: Final answer
    x = 1,946.75

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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.