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Finding the Fourth Proportional to 2,381.58, 3,285.66 and 1,386.69

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Solution

The fourth proportional to 2,381.58, 3,285.66 and 1,386.69 is: 1,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.58 : 3,285.66 = 1,386.69 : x
  2. Step 2: Convert to fraction form
    2,381.58/3,285.66 = 1,386.69/x
  3. Step 3: Cross multiply
    2,381.58x = 3,285.66 × 1,386.69
  4. Step 4: Simplify right side
    2,381.58x = 4,556,191.87
  5. Step 5: Solve for x
    x = 4,556,191.87/2,381.58
  6. Step 6: Final answer
    x = 1,913.10

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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.