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Finding the Fourth Proportional to 1,603.44, 2,401.65 and 952.74

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Solution

The fourth proportional to 1,603.44, 2,401.65 and 952.74 is: 1,427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.44 : 2,401.65 = 952.74 : x
  2. Step 2: Convert to fraction form
    1,603.44/2,401.65 = 952.74/x
  3. Step 3: Cross multiply
    1,603.44x = 2,401.65 × 952.74
  4. Step 4: Simplify right side
    1,603.44x = 2,288,148.02
  5. Step 5: Solve for x
    x = 2,288,148.02/1,603.44
  6. Step 6: Final answer
    x = 1,427.02

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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.