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Finding the Fourth Proportional to 1,312.90, 1,809.20 and 1,228.66

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Solution

The fourth proportional to 1,312.90, 1,809.20 and 1,228.66 is: 1,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.90 : 1,809.20 = 1,228.66 : x
  2. Step 2: Convert to fraction form
    1,312.90/1,809.20 = 1,228.66/x
  3. Step 3: Cross multiply
    1,312.90x = 1,809.20 × 1,228.66
  4. Step 4: Simplify right side
    1,312.90x = 2,222,891.67
  5. Step 5: Solve for x
    x = 2,222,891.67/1,312.90
  6. Step 6: Final answer
    x = 1,693.12

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Why These Related Problems?

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