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Finding the Fourth Proportional to 2,462.50, 3,693.90 and 1,000.86

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Solution

The fourth proportional to 2,462.50, 3,693.90 and 1,000.86 is: 1,501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.50 : 3,693.90 = 1,000.86 : x
  2. Step 2: Convert to fraction form
    2,462.50/3,693.90 = 1,000.86/x
  3. Step 3: Cross multiply
    2,462.50x = 3,693.90 × 1,000.86
  4. Step 4: Simplify right side
    2,462.50x = 3,697,066.66
  5. Step 5: Solve for x
    x = 3,697,066.66/2,462.50
  6. Step 6: Final answer
    x = 1,501.35

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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.