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Finding the Fourth Proportional to 1,575.90, 2,361.42 and 882.14

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Solution

The fourth proportional to 1,575.90, 2,361.42 and 882.14 is: 1,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.90 : 2,361.42 = 882.14 : x
  2. Step 2: Convert to fraction form
    1,575.90/2,361.42 = 882.14/x
  3. Step 3: Cross multiply
    1,575.90x = 2,361.42 × 882.14
  4. Step 4: Simplify right side
    1,575.90x = 2,083,091.23
  5. Step 5: Solve for x
    x = 2,083,091.23/1,575.90
  6. Step 6: Final answer
    x = 1,321.84

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1.5x scale

Why These Related Problems?

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