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Finding the Fourth Proportional to 2,270.06, 3,402.80 and 882.53

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Solution

The fourth proportional to 2,270.06, 3,402.80 and 882.53 is: 1,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.06 : 3,402.80 = 882.53 : x
  2. Step 2: Convert to fraction form
    2,270.06/3,402.80 = 882.53/x
  3. Step 3: Cross multiply
    2,270.06x = 3,402.80 × 882.53
  4. Step 4: Simplify right side
    2,270.06x = 3,003,068.67
  5. Step 5: Solve for x
    x = 3,003,068.67/2,270.06
  6. Step 6: Final answer
    x = 1,322.90

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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.