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Finding the Fourth Proportional to 2,461.58, 3,693 and 2,023.55

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Solution

The fourth proportional to 2,461.58, 3,693 and 2,023.55 is: 3,035.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.58 : 3,693 = 2,023.55 : x
  2. Step 2: Convert to fraction form
    2,461.58/3,693 = 2,023.55/x
  3. Step 3: Cross multiply
    2,461.58x = 3,693 × 2,023.55
  4. Step 4: Simplify right side
    2,461.58x = 7,472,970.15
  5. Step 5: Solve for x
    x = 7,472,970.15/2,461.58
  6. Step 6: Final answer
    x = 3,035.84

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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.