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Finding the Fourth Proportional to 1,525.99, 2,292.06 and 1,482.93

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Solution

The fourth proportional to 1,525.99, 2,292.06 and 1,482.93 is: 2,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.99 : 2,292.06 = 1,482.93 : x
  2. Step 2: Convert to fraction form
    1,525.99/2,292.06 = 1,482.93/x
  3. Step 3: Cross multiply
    1,525.99x = 2,292.06 × 1,482.93
  4. Step 4: Simplify right side
    1,525.99x = 3,398,964.54
  5. Step 5: Solve for x
    x = 3,398,964.54/1,525.99
  6. Step 6: Final answer
    x = 2,227.38

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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.