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Finding the Fourth Proportional to 1,705.57, 2,561.40 and 1,435.24

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Solution

The fourth proportional to 1,705.57, 2,561.40 and 1,435.24 is: 2,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.57 : 2,561.40 = 1,435.24 : x
  2. Step 2: Convert to fraction form
    1,705.57/2,561.40 = 1,435.24/x
  3. Step 3: Cross multiply
    1,705.57x = 2,561.40 × 1,435.24
  4. Step 4: Simplify right side
    1,705.57x = 3,676,223.74
  5. Step 5: Solve for x
    x = 3,676,223.74/1,705.57
  6. Step 6: Final answer
    x = 2,155.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.