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Finding the Fourth Proportional to 2,345.58, 3,517.19 and 785.04

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Solution

The fourth proportional to 2,345.58, 3,517.19 and 785.04 is: 1,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.58 : 3,517.19 = 785.04 : x
  2. Step 2: Convert to fraction form
    2,345.58/3,517.19 = 785.04/x
  3. Step 3: Cross multiply
    2,345.58x = 3,517.19 × 785.04
  4. Step 4: Simplify right side
    2,345.58x = 2,761,134.84
  5. Step 5: Solve for x
    x = 2,761,134.84/2,345.58
  6. Step 6: Final answer
    x = 1,177.17

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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.