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Finding the Fourth Proportional to 2,271.59, 3,407.38 and 628.14

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Solution

The fourth proportional to 2,271.59, 3,407.38 and 628.14 is: 942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.59 : 3,407.38 = 628.14 : x
  2. Step 2: Convert to fraction form
    2,271.59/3,407.38 = 628.14/x
  3. Step 3: Cross multiply
    2,271.59x = 3,407.38 × 628.14
  4. Step 4: Simplify right side
    2,271.59x = 2,140,307.25
  5. Step 5: Solve for x
    x = 2,140,307.25/2,271.59
  6. Step 6: Final answer
    x = 942.21

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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.