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Finding the Fourth Proportional to 2,430.98, 3,648.29 and 1,336.26

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Solution

The fourth proportional to 2,430.98, 3,648.29 and 1,336.26 is: 2,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.98 : 3,648.29 = 1,336.26 : x
  2. Step 2: Convert to fraction form
    2,430.98/3,648.29 = 1,336.26/x
  3. Step 3: Cross multiply
    2,430.98x = 3,648.29 × 1,336.26
  4. Step 4: Simplify right side
    2,430.98x = 4,875,057.31
  5. Step 5: Solve for x
    x = 4,875,057.31/2,430.98
  6. Step 6: Final answer
    x = 2,005.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.