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Finding the Fourth Proportional to 2,495.20, 3,761.20 and 2,430.40

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Solution

The fourth proportional to 2,495.20, 3,761.20 and 2,430.40 is: 3,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.20 : 3,761.20 = 2,430.40 : x
  2. Step 2: Convert to fraction form
    2,495.20/3,761.20 = 2,430.40/x
  3. Step 3: Cross multiply
    2,495.20x = 3,761.20 × 2,430.40
  4. Step 4: Simplify right side
    2,495.20x = 9,141,220.48
  5. Step 5: Solve for x
    x = 9,141,220.48/2,495.20
  6. Step 6: Final answer
    x = 3,663.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.