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Finding the Fourth Proportional to 2,461.54, 3,690.03 and 1,291.30

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Solution

The fourth proportional to 2,461.54, 3,690.03 and 1,291.30 is: 1,935.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.54 : 3,690.03 = 1,291.30 : x
  2. Step 2: Convert to fraction form
    2,461.54/3,690.03 = 1,291.30/x
  3. Step 3: Cross multiply
    2,461.54x = 3,690.03 × 1,291.30
  4. Step 4: Simplify right side
    2,461.54x = 4,764,935.74
  5. Step 5: Solve for x
    x = 4,764,935.74/2,461.54
  6. Step 6: Final answer
    x = 1,935.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.