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Finding the Fourth Proportional to 2,385.47, 3,291.93 and 1,502.43

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Solution

The fourth proportional to 2,385.47, 3,291.93 and 1,502.43 is: 2,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.47 : 3,291.93 = 1,502.43 : x
  2. Step 2: Convert to fraction form
    2,385.47/3,291.93 = 1,502.43/x
  3. Step 3: Cross multiply
    2,385.47x = 3,291.93 × 1,502.43
  4. Step 4: Simplify right side
    2,385.47x = 4,945,894.39
  5. Step 5: Solve for x
    x = 4,945,894.39/2,385.47
  6. Step 6: Final answer
    x = 2,073.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.