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Finding the Fourth Proportional to 2,429.23, 3,643.82 and 785.74

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Solution

The fourth proportional to 2,429.23, 3,643.82 and 785.74 is: 1,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.23 : 3,643.82 = 785.74 : x
  2. Step 2: Convert to fraction form
    2,429.23/3,643.82 = 785.74/x
  3. Step 3: Cross multiply
    2,429.23x = 3,643.82 × 785.74
  4. Step 4: Simplify right side
    2,429.23x = 2,863,095.13
  5. Step 5: Solve for x
    x = 2,863,095.13/2,429.23
  6. Step 6: Final answer
    x = 1,178.60

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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.