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Finding the Fourth Proportional to 1,602.13, 2,403.19 and 386.13

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Solution

The fourth proportional to 1,602.13, 2,403.19 and 386.13 is: 579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.13 : 2,403.19 = 386.13 : x
  2. Step 2: Convert to fraction form
    1,602.13/2,403.19 = 386.13/x
  3. Step 3: Cross multiply
    1,602.13x = 2,403.19 × 386.13
  4. Step 4: Simplify right side
    1,602.13x = 927,943.75
  5. Step 5: Solve for x
    x = 927,943.75/1,602.13
  6. Step 6: Final answer
    x = 579.19

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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.