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Finding the Fourth Proportional to 1,620.23, 2,430.54 and 646.34

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Solution

The fourth proportional to 1,620.23, 2,430.54 and 646.34 is: 969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.23 : 2,430.54 = 646.34 : x
  2. Step 2: Convert to fraction form
    1,620.23/2,430.54 = 646.34/x
  3. Step 3: Cross multiply
    1,620.23x = 2,430.54 × 646.34
  4. Step 4: Simplify right side
    1,620.23x = 1,570,943.07
  5. Step 5: Solve for x
    x = 1,570,943.07/1,620.23
  6. Step 6: Final answer
    x = 969.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.