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Finding the Fourth Proportional to 1,427.22, 1,966.14 and 1,007.10

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Solution

The fourth proportional to 1,427.22, 1,966.14 and 1,007.10 is: 1,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.22 : 1,966.14 = 1,007.10 : x
  2. Step 2: Convert to fraction form
    1,427.22/1,966.14 = 1,007.10/x
  3. Step 3: Cross multiply
    1,427.22x = 1,966.14 × 1,007.10
  4. Step 4: Simplify right side
    1,427.22x = 1,980,099.59
  5. Step 5: Solve for x
    x = 1,980,099.59/1,427.22
  6. Step 6: Final answer
    x = 1,387.38

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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.