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Finding the Fourth Proportional to 1,607.46, 2,409.54 and 1,022.90

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Solution

The fourth proportional to 1,607.46, 2,409.54 and 1,022.90 is: 1,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.46 : 2,409.54 = 1,022.90 : x
  2. Step 2: Convert to fraction form
    1,607.46/2,409.54 = 1,022.90/x
  3. Step 3: Cross multiply
    1,607.46x = 2,409.54 × 1,022.90
  4. Step 4: Simplify right side
    1,607.46x = 2,464,702.58
  5. Step 5: Solve for x
    x = 2,464,702.58/1,607.46
  6. Step 6: Final answer
    x = 1,533.29

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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.