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Finding the Fourth Proportional to 2,015.90, 3,024.62 and 784.17

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Solution

The fourth proportional to 2,015.90, 3,024.62 and 784.17 is: 1,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.90 : 3,024.62 = 784.17 : x
  2. Step 2: Convert to fraction form
    2,015.90/3,024.62 = 784.17/x
  3. Step 3: Cross multiply
    2,015.90x = 3,024.62 × 784.17
  4. Step 4: Simplify right side
    2,015.90x = 2,371,818.23
  5. Step 5: Solve for x
    x = 2,371,818.23/2,015.90
  6. Step 6: Final answer
    x = 1,176.56

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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.