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Finding the Fourth Proportional to 2,675.74, 4,014.40 and 1,214.50

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Solution

The fourth proportional to 2,675.74, 4,014.40 and 1,214.50 is: 1,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.74 : 4,014.40 = 1,214.50 : x
  2. Step 2: Convert to fraction form
    2,675.74/4,014.40 = 1,214.50/x
  3. Step 3: Cross multiply
    2,675.74x = 4,014.40 × 1,214.50
  4. Step 4: Simplify right side
    2,675.74x = 4,875,488.80
  5. Step 5: Solve for x
    x = 4,875,488.80/2,675.74
  6. Step 6: Final answer
    x = 1,822.11

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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.