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Finding the Fourth Proportional to 1,381.81, 1,906.91 and 752.35

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Solution

The fourth proportional to 1,381.81, 1,906.91 and 752.35 is: 1,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.81 : 1,906.91 = 752.35 : x
  2. Step 2: Convert to fraction form
    1,381.81/1,906.91 = 752.35/x
  3. Step 3: Cross multiply
    1,381.81x = 1,906.91 × 752.35
  4. Step 4: Simplify right side
    1,381.81x = 1,434,663.74
  5. Step 5: Solve for x
    x = 1,434,663.74/1,381.81
  6. Step 6: Final answer
    x = 1,038.25

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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.