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Finding the Fourth Proportional to 1,759.10, 2,427.58 and 973.12

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Solution

The fourth proportional to 1,759.10, 2,427.58 and 973.12 is: 1,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.10 : 2,427.58 = 973.12 : x
  2. Step 2: Convert to fraction form
    1,759.10/2,427.58 = 973.12/x
  3. Step 3: Cross multiply
    1,759.10x = 2,427.58 × 973.12
  4. Step 4: Simplify right side
    1,759.10x = 2,362,326.65
  5. Step 5: Solve for x
    x = 2,362,326.65/1,759.10
  6. Step 6: Final answer
    x = 1,342.92

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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.