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Finding the Fourth Proportional to 1,390.53, 1,917.75 and 1,170

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Solution

The fourth proportional to 1,390.53, 1,917.75 and 1,170 is: 1,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.53 : 1,917.75 = 1,170 : x
  2. Step 2: Convert to fraction form
    1,390.53/1,917.75 = 1,170/x
  3. Step 3: Cross multiply
    1,390.53x = 1,917.75 × 1,170
  4. Step 4: Simplify right side
    1,390.53x = 2,243,767.50
  5. Step 5: Solve for x
    x = 2,243,767.50/1,390.53
  6. Step 6: Final answer
    x = 1,613.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.