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Finding the Fourth Proportional to 2,290, 3,160.32 and 1,345.84

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Solution

The fourth proportional to 2,290, 3,160.32 and 1,345.84 is: 1,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290 : 3,160.32 = 1,345.84 : x
  2. Step 2: Convert to fraction form
    2,290/3,160.32 = 1,345.84/x
  3. Step 3: Cross multiply
    2,290x = 3,160.32 × 1,345.84
  4. Step 4: Simplify right side
    2,290x = 4,253,285.07
  5. Step 5: Solve for x
    x = 4,253,285.07/2,290
  6. Step 6: Final answer
    x = 1,857.33

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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.