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Finding the Fourth Proportional to 2,876.64, 3,970.02 and 1,697.28

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Solution

The fourth proportional to 2,876.64, 3,970.02 and 1,697.28 is: 2,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.64 : 3,970.02 = 1,697.28 : x
  2. Step 2: Convert to fraction form
    2,876.64/3,970.02 = 1,697.28/x
  3. Step 3: Cross multiply
    2,876.64x = 3,970.02 × 1,697.28
  4. Step 4: Simplify right side
    2,876.64x = 6,738,235.55
  5. Step 5: Solve for x
    x = 6,738,235.55/2,876.64
  6. Step 6: Final answer
    x = 2,342.40

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Why These Related Problems?

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