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Finding the Fourth Proportional to 2,225.34, 3,068.14 and 1,469

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Solution

The fourth proportional to 2,225.34, 3,068.14 and 1,469 is: 2,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.34 : 3,068.14 = 1,469 : x
  2. Step 2: Convert to fraction form
    2,225.34/3,068.14 = 1,469/x
  3. Step 3: Cross multiply
    2,225.34x = 3,068.14 × 1,469
  4. Step 4: Simplify right side
    2,225.34x = 4,507,097.66
  5. Step 5: Solve for x
    x = 4,507,097.66/2,225.34
  6. Step 6: Final answer
    x = 2,025.35

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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.