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Finding the Fourth Proportional to 1,562.94, 2,346.24 and 1,098.82

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Solution

The fourth proportional to 1,562.94, 2,346.24 and 1,098.82 is: 1,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.94 : 2,346.24 = 1,098.82 : x
  2. Step 2: Convert to fraction form
    1,562.94/2,346.24 = 1,098.82/x
  3. Step 3: Cross multiply
    1,562.94x = 2,346.24 × 1,098.82
  4. Step 4: Simplify right side
    1,562.94x = 2,578,095.44
  5. Step 5: Solve for x
    x = 2,578,095.44/1,562.94
  6. Step 6: Final answer
    x = 1,649.52

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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.