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Finding the Fourth Proportional to 2,866.88, 3,957.04 and 1,688.32

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Solution

The fourth proportional to 2,866.88, 3,957.04 and 1,688.32 is: 2,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.88 : 3,957.04 = 1,688.32 : x
  2. Step 2: Convert to fraction form
    2,866.88/3,957.04 = 1,688.32/x
  3. Step 3: Cross multiply
    2,866.88x = 3,957.04 × 1,688.32
  4. Step 4: Simplify right side
    2,866.88x = 6,680,749.77
  5. Step 5: Solve for x
    x = 6,680,749.77/2,866.88
  6. Step 6: Final answer
    x = 2,330.32

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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.