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Finding the Fourth Proportional to 2,402.84, 3,603.78 and 821.63

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Solution

The fourth proportional to 2,402.84, 3,603.78 and 821.63 is: 1,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.84 : 3,603.78 = 821.63 : x
  2. Step 2: Convert to fraction form
    2,402.84/3,603.78 = 821.63/x
  3. Step 3: Cross multiply
    2,402.84x = 3,603.78 × 821.63
  4. Step 4: Simplify right side
    2,402.84x = 2,960,955.74
  5. Step 5: Solve for x
    x = 2,960,955.74/2,402.84
  6. Step 6: Final answer
    x = 1,232.28

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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.