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Finding the Fourth Proportional to 2,605.64, 3,594.88 and 1,485.77

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Solution

The fourth proportional to 2,605.64, 3,594.88 and 1,485.77 is: 2,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.64 : 3,594.88 = 1,485.77 : x
  2. Step 2: Convert to fraction form
    2,605.64/3,594.88 = 1,485.77/x
  3. Step 3: Cross multiply
    2,605.64x = 3,594.88 × 1,485.77
  4. Step 4: Simplify right side
    2,605.64x = 5,341,143.17
  5. Step 5: Solve for x
    x = 5,341,143.17/2,605.64
  6. Step 6: Final answer
    x = 2,049.84

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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.