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Finding the Fourth Proportional to 2,475.81, 3,715.11 and 1,016.01

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Solution

The fourth proportional to 2,475.81, 3,715.11 and 1,016.01 is: 1,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.81 : 3,715.11 = 1,016.01 : x
  2. Step 2: Convert to fraction form
    2,475.81/3,715.11 = 1,016.01/x
  3. Step 3: Cross multiply
    2,475.81x = 3,715.11 × 1,016.01
  4. Step 4: Simplify right side
    2,475.81x = 3,774,588.91
  5. Step 5: Solve for x
    x = 3,774,588.91/2,475.81
  6. Step 6: Final answer
    x = 1,524.59

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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.