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Finding the Fourth Proportional to 2,041.55, 3,062.32 and 945.77

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Solution

The fourth proportional to 2,041.55, 3,062.32 and 945.77 is: 1,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.55 : 3,062.32 = 945.77 : x
  2. Step 2: Convert to fraction form
    2,041.55/3,062.32 = 945.77/x
  3. Step 3: Cross multiply
    2,041.55x = 3,062.32 × 945.77
  4. Step 4: Simplify right side
    2,041.55x = 2,896,232.71
  5. Step 5: Solve for x
    x = 2,896,232.71/2,041.55
  6. Step 6: Final answer
    x = 1,418.65

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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.