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Finding the Fourth Proportional to 2,041.72, 3,062.58 and 1,015

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Solution

The fourth proportional to 2,041.72, 3,062.58 and 1,015 is: 1,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.72 : 3,062.58 = 1,015 : x
  2. Step 2: Convert to fraction form
    2,041.72/3,062.58 = 1,015/x
  3. Step 3: Cross multiply
    2,041.72x = 3,062.58 × 1,015
  4. Step 4: Simplify right side
    2,041.72x = 3,108,518.70
  5. Step 5: Solve for x
    x = 3,108,518.70/2,041.72
  6. Step 6: Final answer
    x = 1,522.50

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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.