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Finding the Fourth Proportional to 2,603.60, 3,905.40 and 1,064.24

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Solution

The fourth proportional to 2,603.60, 3,905.40 and 1,064.24 is: 1,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.60 : 3,905.40 = 1,064.24 : x
  2. Step 2: Convert to fraction form
    2,603.60/3,905.40 = 1,064.24/x
  3. Step 3: Cross multiply
    2,603.60x = 3,905.40 × 1,064.24
  4. Step 4: Simplify right side
    2,603.60x = 4,156,282.90
  5. Step 5: Solve for x
    x = 4,156,282.90/2,603.60
  6. Step 6: Final answer
    x = 1,596.36

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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.