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Finding the Fourth Proportional to 2,971.84, 4,101.60 and 2,134.72

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Solution

The fourth proportional to 2,971.84, 4,101.60 and 2,134.72 is: 2,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.84 : 4,101.60 = 2,134.72 : x
  2. Step 2: Convert to fraction form
    2,971.84/4,101.60 = 2,134.72/x
  3. Step 3: Cross multiply
    2,971.84x = 4,101.60 × 2,134.72
  4. Step 4: Simplify right side
    2,971.84x = 8,755,767.55
  5. Step 5: Solve for x
    x = 8,755,767.55/2,971.84
  6. Step 6: Final answer
    x = 2,946.24

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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.