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Finding the Fourth Proportional to 1,599.05, 2,400.41 and 1,507.93

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Solution

The fourth proportional to 1,599.05, 2,400.41 and 1,507.93 is: 2,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.05 : 2,400.41 = 1,507.93 : x
  2. Step 2: Convert to fraction form
    1,599.05/2,400.41 = 1,507.93/x
  3. Step 3: Cross multiply
    1,599.05x = 2,400.41 × 1,507.93
  4. Step 4: Simplify right side
    1,599.05x = 3,619,648.02
  5. Step 5: Solve for x
    x = 3,619,648.02/1,599.05
  6. Step 6: Final answer
    x = 2,263.62

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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.