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Finding the Fourth Proportional to 2,430.56, 3,646.20 and 949.52

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Solution

The fourth proportional to 2,430.56, 3,646.20 and 949.52 is: 1,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.56 : 3,646.20 = 949.52 : x
  2. Step 2: Convert to fraction form
    2,430.56/3,646.20 = 949.52/x
  3. Step 3: Cross multiply
    2,430.56x = 3,646.20 × 949.52
  4. Step 4: Simplify right side
    2,430.56x = 3,462,139.82
  5. Step 5: Solve for x
    x = 3,462,139.82/2,430.56
  6. Step 6: Final answer
    x = 1,424.42

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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.