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Finding the Fourth Proportional to 1,603.13, 2,213.34 and 1,309.10

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Solution

The fourth proportional to 1,603.13, 2,213.34 and 1,309.10 is: 1,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.13 : 2,213.34 = 1,309.10 : x
  2. Step 2: Convert to fraction form
    1,603.13/2,213.34 = 1,309.10/x
  3. Step 3: Cross multiply
    1,603.13x = 2,213.34 × 1,309.10
  4. Step 4: Simplify right side
    1,603.13x = 2,897,483.39
  5. Step 5: Solve for x
    x = 2,897,483.39/1,603.13
  6. Step 6: Final answer
    x = 1,807.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.