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Finding the Fourth Proportional to 2,035.41, 3,050.41 and 735.63

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Solution

The fourth proportional to 2,035.41, 3,050.41 and 735.63 is: 1,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.41 : 3,050.41 = 735.63 : x
  2. Step 2: Convert to fraction form
    2,035.41/3,050.41 = 735.63/x
  3. Step 3: Cross multiply
    2,035.41x = 3,050.41 × 735.63
  4. Step 4: Simplify right side
    2,035.41x = 2,243,973.11
  5. Step 5: Solve for x
    x = 2,243,973.11/2,035.41
  6. Step 6: Final answer
    x = 1,102.47

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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.