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Finding the Fourth Proportional to 1,602.51, 2,404.02 and 615.28

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Solution

The fourth proportional to 1,602.51, 2,404.02 and 615.28 is: 923.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.51 : 2,404.02 = 615.28 : x
  2. Step 2: Convert to fraction form
    1,602.51/2,404.02 = 615.28/x
  3. Step 3: Cross multiply
    1,602.51x = 2,404.02 × 615.28
  4. Step 4: Simplify right side
    1,602.51x = 1,479,145.43
  5. Step 5: Solve for x
    x = 1,479,145.43/1,602.51
  6. Step 6: Final answer
    x = 923.02

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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.