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Finding the Fourth Proportional to 1,460.02, 2,190.37 and 434.02

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Solution

The fourth proportional to 1,460.02, 2,190.37 and 434.02 is: 651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.02 : 2,190.37 = 434.02 : x
  2. Step 2: Convert to fraction form
    1,460.02/2,190.37 = 434.02/x
  3. Step 3: Cross multiply
    1,460.02x = 2,190.37 × 434.02
  4. Step 4: Simplify right side
    1,460.02x = 950,664.39
  5. Step 5: Solve for x
    x = 950,664.39/1,460.02
  6. Step 6: Final answer
    x = 651.13

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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.