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Finding the Fourth Proportional to 1,620.10, 2,430.18 and 646.18

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Solution

The fourth proportional to 1,620.10, 2,430.18 and 646.18 is: 969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.10 : 2,430.18 = 646.18 : x
  2. Step 2: Convert to fraction form
    1,620.10/2,430.18 = 646.18/x
  3. Step 3: Cross multiply
    1,620.10x = 2,430.18 × 646.18
  4. Step 4: Simplify right side
    1,620.10x = 1,570,333.71
  5. Step 5: Solve for x
    x = 1,570,333.71/1,620.10
  6. Step 6: Final answer
    x = 969.28

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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.