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Finding the Fourth Proportional to 1,759.54, 2,427.82 and 973.44

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Solution

The fourth proportional to 1,759.54, 2,427.82 and 973.44 is: 1,343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.54 : 2,427.82 = 973.44 : x
  2. Step 2: Convert to fraction form
    1,759.54/2,427.82 = 973.44/x
  3. Step 3: Cross multiply
    1,759.54x = 2,427.82 × 973.44
  4. Step 4: Simplify right side
    1,759.54x = 2,363,337.10
  5. Step 5: Solve for x
    x = 2,363,337.10/1,759.54
  6. Step 6: Final answer
    x = 1,343.16

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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.