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Finding the Fourth Proportional to 2,386.64, 3,579.98 and 743.12

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Solution

The fourth proportional to 2,386.64, 3,579.98 and 743.12 is: 1,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.64 : 3,579.98 = 743.12 : x
  2. Step 2: Convert to fraction form
    2,386.64/3,579.98 = 743.12/x
  3. Step 3: Cross multiply
    2,386.64x = 3,579.98 × 743.12
  4. Step 4: Simplify right side
    2,386.64x = 2,660,354.74
  5. Step 5: Solve for x
    x = 2,660,354.74/2,386.64
  6. Step 6: Final answer
    x = 1,114.69

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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.