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Finding the Fourth Proportional to 2,102.64, 3,153.96 and 715.98

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Solution

The fourth proportional to 2,102.64, 3,153.96 and 715.98 is: 1,073.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.64 : 3,153.96 = 715.98 : x
  2. Step 2: Convert to fraction form
    2,102.64/3,153.96 = 715.98/x
  3. Step 3: Cross multiply
    2,102.64x = 3,153.96 × 715.98
  4. Step 4: Simplify right side
    2,102.64x = 2,258,172.28
  5. Step 5: Solve for x
    x = 2,258,172.28/2,102.64
  6. Step 6: Final answer
    x = 1,073.97

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Why These Related Problems?

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