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Finding the Fourth Proportional to 1,620.17, 2,430.42 and 646.05

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Solution

The fourth proportional to 1,620.17, 2,430.42 and 646.05 is: 969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.17 : 2,430.42 = 646.05 : x
  2. Step 2: Convert to fraction form
    1,620.17/2,430.42 = 646.05/x
  3. Step 3: Cross multiply
    1,620.17x = 2,430.42 × 646.05
  4. Step 4: Simplify right side
    1,620.17x = 1,570,172.84
  5. Step 5: Solve for x
    x = 1,570,172.84/1,620.17
  6. Step 6: Final answer
    x = 969.14

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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.