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Finding the Fourth Proportional to 1,973.32, 2,959.66 and 605

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Solution

The fourth proportional to 1,973.32, 2,959.66 and 605 is: 907.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.32 : 2,959.66 = 605 : x
  2. Step 2: Convert to fraction form
    1,973.32/2,959.66 = 605/x
  3. Step 3: Cross multiply
    1,973.32x = 2,959.66 × 605
  4. Step 4: Simplify right side
    1,973.32x = 1,790,594.30
  5. Step 5: Solve for x
    x = 1,790,594.30/1,973.32
  6. Step 6: Final answer
    x = 907.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.