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Finding the Fourth Proportional to 2,931.70, 4,047.63 and 2,616.42

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Solution

The fourth proportional to 2,931.70, 4,047.63 and 2,616.42 is: 3,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.70 : 4,047.63 = 2,616.42 : x
  2. Step 2: Convert to fraction form
    2,931.70/4,047.63 = 2,616.42/x
  3. Step 3: Cross multiply
    2,931.70x = 4,047.63 × 2,616.42
  4. Step 4: Simplify right side
    2,931.70x = 10,590,300.08
  5. Step 5: Solve for x
    x = 10,590,300.08/2,931.70
  6. Step 6: Final answer
    x = 3,612.34

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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.