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Finding the Fourth Proportional to 4,562.93, 6,844.40 and 1,603.70

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Solution

The fourth proportional to 4,562.93, 6,844.40 and 1,603.70 is: 2,405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.93 : 6,844.40 = 1,603.70 : x
  2. Step 2: Convert to fraction form
    4,562.93/6,844.40 = 1,603.70/x
  3. Step 3: Cross multiply
    4,562.93x = 6,844.40 × 1,603.70
  4. Step 4: Simplify right side
    4,562.93x = 10,976,366.28
  5. Step 5: Solve for x
    x = 10,976,366.28/4,562.93
  6. Step 6: Final answer
    x = 2,405.55

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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.