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Finding the Fourth Proportional to 1,521.02, 2,099.04 and 900.02

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Solution

The fourth proportional to 1,521.02, 2,099.04 and 900.02 is: 1,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.02 : 2,099.04 = 900.02 : x
  2. Step 2: Convert to fraction form
    1,521.02/2,099.04 = 900.02/x
  3. Step 3: Cross multiply
    1,521.02x = 2,099.04 × 900.02
  4. Step 4: Simplify right side
    1,521.02x = 1,889,177.98
  5. Step 5: Solve for x
    x = 1,889,177.98/1,521.02
  6. Step 6: Final answer
    x = 1,242.05

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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.