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Finding the Fourth Proportional to 2,388.71, 3,583.47 and 745.22

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Solution

The fourth proportional to 2,388.71, 3,583.47 and 745.22 is: 1,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.71 : 3,583.47 = 745.22 : x
  2. Step 2: Convert to fraction form
    2,388.71/3,583.47 = 745.22/x
  3. Step 3: Cross multiply
    2,388.71x = 3,583.47 × 745.22
  4. Step 4: Simplify right side
    2,388.71x = 2,670,473.51
  5. Step 5: Solve for x
    x = 2,670,473.51/2,388.71
  6. Step 6: Final answer
    x = 1,117.96

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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.