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Finding the Fourth Proportional to 2,886.73, 4,330.08 and 695.45

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Solution

The fourth proportional to 2,886.73, 4,330.08 and 695.45 is: 1,043.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.73 : 4,330.08 = 695.45 : x
  2. Step 2: Convert to fraction form
    2,886.73/4,330.08 = 695.45/x
  3. Step 3: Cross multiply
    2,886.73x = 4,330.08 × 695.45
  4. Step 4: Simplify right side
    2,886.73x = 3,011,354.14
  5. Step 5: Solve for x
    x = 3,011,354.14/2,886.73
  6. Step 6: Final answer
    x = 1,043.17

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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.