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Finding the Fourth Proportional to 2,583.98, 3,870.08 and 1,646.92

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Solution

The fourth proportional to 2,583.98, 3,870.08 and 1,646.92 is: 2,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.98 : 3,870.08 = 1,646.92 : x
  2. Step 2: Convert to fraction form
    2,583.98/3,870.08 = 1,646.92/x
  3. Step 3: Cross multiply
    2,583.98x = 3,870.08 × 1,646.92
  4. Step 4: Simplify right side
    2,583.98x = 6,373,712.15
  5. Step 5: Solve for x
    x = 6,373,712.15/2,583.98
  6. Step 6: Final answer
    x = 2,466.63

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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.