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Finding the Fourth Proportional to 1,599.65, 2,206 and 1,060.32

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Solution

The fourth proportional to 1,599.65, 2,206 and 1,060.32 is: 1,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.65 : 2,206 = 1,060.32 : x
  2. Step 2: Convert to fraction form
    1,599.65/2,206 = 1,060.32/x
  3. Step 3: Cross multiply
    1,599.65x = 2,206 × 1,060.32
  4. Step 4: Simplify right side
    1,599.65x = 2,339,065.92
  5. Step 5: Solve for x
    x = 2,339,065.92/1,599.65
  6. Step 6: Final answer
    x = 1,462.24

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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.