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Finding the Fourth Proportional to 2,339.96, 3,507.22 and 1,792.40

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Solution

The fourth proportional to 2,339.96, 3,507.22 and 1,792.40 is: 2,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.96 : 3,507.22 = 1,792.40 : x
  2. Step 2: Convert to fraction form
    2,339.96/3,507.22 = 1,792.40/x
  3. Step 3: Cross multiply
    2,339.96x = 3,507.22 × 1,792.40
  4. Step 4: Simplify right side
    2,339.96x = 6,286,341.13
  5. Step 5: Solve for x
    x = 6,286,341.13/2,339.96
  6. Step 6: Final answer
    x = 2,686.52

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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.