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Finding the Fourth Proportional to 3,314.87, 4,574.47 and 1,822.77

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Solution

The fourth proportional to 3,314.87, 4,574.47 and 1,822.77 is: 2,515.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.87 : 4,574.47 = 1,822.77 : x
  2. Step 2: Convert to fraction form
    3,314.87/4,574.47 = 1,822.77/x
  3. Step 3: Cross multiply
    3,314.87x = 4,574.47 × 1,822.77
  4. Step 4: Simplify right side
    3,314.87x = 8,338,211.24
  5. Step 5: Solve for x
    x = 8,338,211.24/3,314.87
  6. Step 6: Final answer
    x = 2,515.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.