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Finding the Fourth Proportional to 2,044.15, 3,065.70 and 947.44

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Solution

The fourth proportional to 2,044.15, 3,065.70 and 947.44 is: 1,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.15 : 3,065.70 = 947.44 : x
  2. Step 2: Convert to fraction form
    2,044.15/3,065.70 = 947.44/x
  3. Step 3: Cross multiply
    2,044.15x = 3,065.70 × 947.44
  4. Step 4: Simplify right side
    2,044.15x = 2,904,566.81
  5. Step 5: Solve for x
    x = 2,904,566.81/2,044.15
  6. Step 6: Final answer
    x = 1,420.92

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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.