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Finding the Fourth Proportional to 2,630.34, 3,628.28 and 1,567.71

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Solution

The fourth proportional to 2,630.34, 3,628.28 and 1,567.71 is: 2,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.34 : 3,628.28 = 1,567.71 : x
  2. Step 2: Convert to fraction form
    2,630.34/3,628.28 = 1,567.71/x
  3. Step 3: Cross multiply
    2,630.34x = 3,628.28 × 1,567.71
  4. Step 4: Simplify right side
    2,630.34x = 5,688,094.76
  5. Step 5: Solve for x
    x = 5,688,094.76/2,630.34
  6. Step 6: Final answer
    x = 2,162.49

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