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Finding the Fourth Proportional to 1,710.96, 2,361.84 and 1,152

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Solution

The fourth proportional to 1,710.96, 2,361.84 and 1,152 is: 1,590.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.96 : 2,361.84 = 1,152 : x
  2. Step 2: Convert to fraction form
    1,710.96/2,361.84 = 1,152/x
  3. Step 3: Cross multiply
    1,710.96x = 2,361.84 × 1,152
  4. Step 4: Simplify right side
    1,710.96x = 2,720,839.68
  5. Step 5: Solve for x
    x = 2,720,839.68/1,710.96
  6. Step 6: Final answer
    x = 1,590.24

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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.