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Finding the Fourth Proportional to 2,402.52, 3,603.70 and 996.76

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Solution

The fourth proportional to 2,402.52, 3,603.70 and 996.76 is: 1,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.52 : 3,603.70 = 996.76 : x
  2. Step 2: Convert to fraction form
    2,402.52/3,603.70 = 996.76/x
  3. Step 3: Cross multiply
    2,402.52x = 3,603.70 × 996.76
  4. Step 4: Simplify right side
    2,402.52x = 3,592,024.01
  5. Step 5: Solve for x
    x = 3,592,024.01/2,402.52
  6. Step 6: Final answer
    x = 1,495.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.