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Finding the Fourth Proportional to 2,402.96, 3,315.11 and 1,472.00

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Solution

The fourth proportional to 2,402.96, 3,315.11 and 1,472.00 is: 2,030.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.96 : 3,315.11 = 1,472.00 : x
  2. Step 2: Convert to fraction form
    2,402.96/3,315.11 = 1,472.00/x
  3. Step 3: Cross multiply
    2,402.96x = 3,315.11 × 1,472.00
  4. Step 4: Simplify right side
    2,402.96x = 4,879,817.98
  5. Step 5: Solve for x
    x = 4,879,817.98/2,402.96
  6. Step 6: Final answer
    x = 2,030.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.