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Finding the Fourth Proportional to 2,174.84, 3,002.16 and 1,476.64

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Solution

The fourth proportional to 2,174.84, 3,002.16 and 1,476.64 is: 2,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.84 : 3,002.16 = 1,476.64 : x
  2. Step 2: Convert to fraction form
    2,174.84/3,002.16 = 1,476.64/x
  3. Step 3: Cross multiply
    2,174.84x = 3,002.16 × 1,476.64
  4. Step 4: Simplify right side
    2,174.84x = 4,433,109.54
  5. Step 5: Solve for x
    x = 4,433,109.54/2,174.84
  6. Step 6: Final answer
    x = 2,038.36

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