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Finding the Fourth Proportional to 1,759.16, 2,427.80 and 1,051

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Solution

The fourth proportional to 1,759.16, 2,427.80 and 1,051 is: 1,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.16 : 2,427.80 = 1,051 : x
  2. Step 2: Convert to fraction form
    1,759.16/2,427.80 = 1,051/x
  3. Step 3: Cross multiply
    1,759.16x = 2,427.80 × 1,051
  4. Step 4: Simplify right side
    1,759.16x = 2,551,617.80
  5. Step 5: Solve for x
    x = 2,551,617.80/1,759.16
  6. Step 6: Final answer
    x = 1,450.48

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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.