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Finding the Fourth Proportional to 2,412.06, 3,610.98 and 1,798.50

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Solution

The fourth proportional to 2,412.06, 3,610.98 and 1,798.50 is: 2,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.06 : 3,610.98 = 1,798.50 : x
  2. Step 2: Convert to fraction form
    2,412.06/3,610.98 = 1,798.50/x
  3. Step 3: Cross multiply
    2,412.06x = 3,610.98 × 1,798.50
  4. Step 4: Simplify right side
    2,412.06x = 6,494,347.53
  5. Step 5: Solve for x
    x = 6,494,347.53/2,412.06
  6. Step 6: Final answer
    x = 2,692.45

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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.