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Finding the Fourth Proportional to 3,430.69, 5,148.05 and 1,456.20

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Solution

The fourth proportional to 3,430.69, 5,148.05 and 1,456.20 is: 2,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.69 : 5,148.05 = 1,456.20 : x
  2. Step 2: Convert to fraction form
    3,430.69/5,148.05 = 1,456.20/x
  3. Step 3: Cross multiply
    3,430.69x = 5,148.05 × 1,456.20
  4. Step 4: Simplify right side
    3,430.69x = 7,496,583.13
  5. Step 5: Solve for x
    x = 7,496,583.13/3,430.69
  6. Step 6: Final answer
    x = 2,185.15

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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.