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Finding the Fourth Proportional to 1,630.23, 2,445.80 and 656.10

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Solution

The fourth proportional to 1,630.23, 2,445.80 and 656.10 is: 984.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.23 : 2,445.80 = 656.10 : x
  2. Step 2: Convert to fraction form
    1,630.23/2,445.80 = 656.10/x
  3. Step 3: Cross multiply
    1,630.23x = 2,445.80 × 656.10
  4. Step 4: Simplify right side
    1,630.23x = 1,604,686.10
  5. Step 5: Solve for x
    x = 1,604,686.10/1,630.23
  6. Step 6: Final answer
    x = 984.33

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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.