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Finding the Fourth Proportional to 1,404.02, 1,936.29 and 880.10

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Solution

The fourth proportional to 1,404.02, 1,936.29 and 880.10 is: 1,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.02 : 1,936.29 = 880.10 : x
  2. Step 2: Convert to fraction form
    1,404.02/1,936.29 = 880.10/x
  3. Step 3: Cross multiply
    1,404.02x = 1,936.29 × 880.10
  4. Step 4: Simplify right side
    1,404.02x = 1,704,128.83
  5. Step 5: Solve for x
    x = 1,704,128.83/1,404.02
  6. Step 6: Final answer
    x = 1,213.75

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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.