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Finding the Fourth Proportional to 1,620.34, 2,430.24 and 646.18

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Solution

The fourth proportional to 1,620.34, 2,430.24 and 646.18 is: 969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.34 : 2,430.24 = 646.18 : x
  2. Step 2: Convert to fraction form
    1,620.34/2,430.24 = 646.18/x
  3. Step 3: Cross multiply
    1,620.34x = 2,430.24 × 646.18
  4. Step 4: Simplify right side
    1,620.34x = 1,570,372.48
  5. Step 5: Solve for x
    x = 1,570,372.48/1,620.34
  6. Step 6: Final answer
    x = 969.16

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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.