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Finding the Fourth Proportional to 1,404.30, 2,102.40 and 857.55

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Solution

The fourth proportional to 1,404.30, 2,102.40 and 857.55 is: 1,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.30 : 2,102.40 = 857.55 : x
  2. Step 2: Convert to fraction form
    1,404.30/2,102.40 = 857.55/x
  3. Step 3: Cross multiply
    1,404.30x = 2,102.40 × 857.55
  4. Step 4: Simplify right side
    1,404.30x = 1,802,913.12
  5. Step 5: Solve for x
    x = 1,802,913.12/1,404.30
  6. Step 6: Final answer
    x = 1,283.85

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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.