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Finding the Fourth Proportional to 1,518.59, 2,080.47 and 1,461.71

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Solution

The fourth proportional to 1,518.59, 2,080.47 and 1,461.71 is: 2,002.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.59 : 2,080.47 = 1,461.71 : x
  2. Step 2: Convert to fraction form
    1,518.59/2,080.47 = 1,461.71/x
  3. Step 3: Cross multiply
    1,518.59x = 2,080.47 × 1,461.71
  4. Step 4: Simplify right side
    1,518.59x = 3,041,048.05
  5. Step 5: Solve for x
    x = 3,041,048.05/1,518.59
  6. Step 6: Final answer
    x = 2,002.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.