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Finding the Fourth Proportional to 2,462.64, 3,693.33 and 1,001.49

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Solution

The fourth proportional to 2,462.64, 3,693.33 and 1,001.49 is: 1,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.64 : 3,693.33 = 1,001.49 : x
  2. Step 2: Convert to fraction form
    2,462.64/3,693.33 = 1,001.49/x
  3. Step 3: Cross multiply
    2,462.64x = 3,693.33 × 1,001.49
  4. Step 4: Simplify right side
    2,462.64x = 3,698,833.06
  5. Step 5: Solve for x
    x = 3,698,833.06/2,462.64
  6. Step 6: Final answer
    x = 1,501.98

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1.5x scale

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.