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Finding the Fourth Proportional to 2,601.52, 3,590 and 1,482.52

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Solution

The fourth proportional to 2,601.52, 3,590 and 1,482.52 is: 2,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.52 : 3,590 = 1,482.52 : x
  2. Step 2: Convert to fraction form
    2,601.52/3,590 = 1,482.52/x
  3. Step 3: Cross multiply
    2,601.52x = 3,590 × 1,482.52
  4. Step 4: Simplify right side
    2,601.52x = 5,322,246.80
  5. Step 5: Solve for x
    x = 5,322,246.80/2,601.52
  6. Step 6: Final answer
    x = 2,045.82

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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.