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Finding the Fourth Proportional to 1,705.35, 2,352.12 and 1,041.66

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Solution

The fourth proportional to 1,705.35, 2,352.12 and 1,041.66 is: 1,436.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.35 : 2,352.12 = 1,041.66 : x
  2. Step 2: Convert to fraction form
    1,705.35/2,352.12 = 1,041.66/x
  3. Step 3: Cross multiply
    1,705.35x = 2,352.12 × 1,041.66
  4. Step 4: Simplify right side
    1,705.35x = 2,450,097.56
  5. Step 5: Solve for x
    x = 2,450,097.56/1,705.35
  6. Step 6: Final answer
    x = 1,436.71

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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.