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Finding the Fourth Proportional to 1,607.52, 2,405.13 and 1,603.41

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Solution

The fourth proportional to 1,607.52, 2,405.13 and 1,603.41 is: 2,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.52 : 2,405.13 = 1,603.41 : x
  2. Step 2: Convert to fraction form
    1,607.52/2,405.13 = 1,603.41/x
  3. Step 3: Cross multiply
    1,607.52x = 2,405.13 × 1,603.41
  4. Step 4: Simplify right side
    1,607.52x = 3,856,409.49
  5. Step 5: Solve for x
    x = 3,856,409.49/1,607.52
  6. Step 6: Final answer
    x = 2,398.98

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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.