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Finding the Fourth Proportional to 1,367.69, 1,886.35 and 1,210.49

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Solution

The fourth proportional to 1,367.69, 1,886.35 and 1,210.49 is: 1,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.69 : 1,886.35 = 1,210.49 : x
  2. Step 2: Convert to fraction form
    1,367.69/1,886.35 = 1,210.49/x
  3. Step 3: Cross multiply
    1,367.69x = 1,886.35 × 1,210.49
  4. Step 4: Simplify right side
    1,367.69x = 2,283,401.76
  5. Step 5: Solve for x
    x = 2,283,401.76/1,367.69
  6. Step 6: Final answer
    x = 1,669.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.