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Finding the Fourth Proportional to 1,705.21, 2,342.99 and 1,355.29

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Solution

The fourth proportional to 1,705.21, 2,342.99 and 1,355.29 is: 1,862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.21 : 2,342.99 = 1,355.29 : x
  2. Step 2: Convert to fraction form
    1,705.21/2,342.99 = 1,355.29/x
  3. Step 3: Cross multiply
    1,705.21x = 2,342.99 × 1,355.29
  4. Step 4: Simplify right side
    1,705.21x = 3,175,423.37
  5. Step 5: Solve for x
    x = 3,175,423.37/1,705.21
  6. Step 6: Final answer
    x = 1,862.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.