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Finding the Fourth Proportional to 2,415.83, 3,624.14 and 750.06

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Solution

The fourth proportional to 2,415.83, 3,624.14 and 750.06 is: 1,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.83 : 3,624.14 = 750.06 : x
  2. Step 2: Convert to fraction form
    2,415.83/3,624.14 = 750.06/x
  3. Step 3: Cross multiply
    2,415.83x = 3,624.14 × 750.06
  4. Step 4: Simplify right side
    2,415.83x = 2,718,324.32
  5. Step 5: Solve for x
    x = 2,718,324.32/2,415.83
  6. Step 6: Final answer
    x = 1,125.22

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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.