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Finding the Fourth Proportional to 1,729.61, 2,603.64 and 1,551

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Solution

The fourth proportional to 1,729.61, 2,603.64 and 1,551 is: 2,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.61 : 2,603.64 = 1,551 : x
  2. Step 2: Convert to fraction form
    1,729.61/2,603.64 = 1,551/x
  3. Step 3: Cross multiply
    1,729.61x = 2,603.64 × 1,551
  4. Step 4: Simplify right side
    1,729.61x = 4,038,245.64
  5. Step 5: Solve for x
    x = 4,038,245.64/1,729.61
  6. Step 6: Final answer
    x = 2,334.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.