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Finding the Fourth Proportional to 2,663.42, 3,995.16 and 1,020.06

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Solution

The fourth proportional to 2,663.42, 3,995.16 and 1,020.06 is: 1,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.42 : 3,995.16 = 1,020.06 : x
  2. Step 2: Convert to fraction form
    2,663.42/3,995.16 = 1,020.06/x
  3. Step 3: Cross multiply
    2,663.42x = 3,995.16 × 1,020.06
  4. Step 4: Simplify right side
    2,663.42x = 4,075,299.08
  5. Step 5: Solve for x
    x = 4,075,299.08/2,663.42
  6. Step 6: Final answer
    x = 1,530.10

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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.