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Finding the Fourth Proportional to 1,404.24, 2,106.35 and 671.60

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Solution

The fourth proportional to 1,404.24, 2,106.35 and 671.60 is: 1,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.24 : 2,106.35 = 671.60 : x
  2. Step 2: Convert to fraction form
    1,404.24/2,106.35 = 671.60/x
  3. Step 3: Cross multiply
    1,404.24x = 2,106.35 × 671.60
  4. Step 4: Simplify right side
    1,404.24x = 1,414,624.66
  5. Step 5: Solve for x
    x = 1,414,624.66/1,404.24
  6. Step 6: Final answer
    x = 1,007.40

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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.