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Finding the Fourth Proportional to 1,780.22, 2,670.24 and 1,040.24

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Solution

The fourth proportional to 1,780.22, 2,670.24 and 1,040.24 is: 1,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.22 : 2,670.24 = 1,040.24 : x
  2. Step 2: Convert to fraction form
    1,780.22/2,670.24 = 1,040.24/x
  3. Step 3: Cross multiply
    1,780.22x = 2,670.24 × 1,040.24
  4. Step 4: Simplify right side
    1,780.22x = 2,777,690.46
  5. Step 5: Solve for x
    x = 2,777,690.46/1,780.22
  6. Step 6: Final answer
    x = 1,560.31

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1.5x scale

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.