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Finding the Fourth Proportional to 2,267.76, 3,403.26 and 970.14

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Solution

The fourth proportional to 2,267.76, 3,403.26 and 970.14 is: 1,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.76 : 3,403.26 = 970.14 : x
  2. Step 2: Convert to fraction form
    2,267.76/3,403.26 = 970.14/x
  3. Step 3: Cross multiply
    2,267.76x = 3,403.26 × 970.14
  4. Step 4: Simplify right side
    2,267.76x = 3,301,638.66
  5. Step 5: Solve for x
    x = 3,301,638.66/2,267.76
  6. Step 6: Final answer
    x = 1,455.90

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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.