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Finding the Fourth Proportional to 1,500.81, 2,251.59 and 1,476

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Solution

The fourth proportional to 1,500.81, 2,251.59 and 1,476 is: 2,214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.81 : 2,251.59 = 1,476 : x
  2. Step 2: Convert to fraction form
    1,500.81/2,251.59 = 1,476/x
  3. Step 3: Cross multiply
    1,500.81x = 2,251.59 × 1,476
  4. Step 4: Simplify right side
    1,500.81x = 3,323,346.84
  5. Step 5: Solve for x
    x = 3,323,346.84/1,500.81
  6. Step 6: Final answer
    x = 2,214.37

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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.