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Finding the Fourth Proportional to 2,102.00, 3,152.98 and 716.30

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Solution

The fourth proportional to 2,102.00, 3,152.98 and 716.30 is: 1,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.00 : 3,152.98 = 716.30 : x
  2. Step 2: Convert to fraction form
    2,102.00/3,152.98 = 716.30/x
  3. Step 3: Cross multiply
    2,102.00x = 3,152.98 × 716.30
  4. Step 4: Simplify right side
    2,102.00x = 2,258,490.23
  5. Step 5: Solve for x
    x = 2,258,490.23/2,102.00
  6. Step 6: Final answer
    x = 1,074.45

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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.