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Finding the Fourth Proportional to 1,404.57, 2,106.78 and 671.93

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Solution

The fourth proportional to 1,404.57, 2,106.78 and 671.93 is: 1,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.57 : 2,106.78 = 671.93 : x
  2. Step 2: Convert to fraction form
    1,404.57/2,106.78 = 671.93/x
  3. Step 3: Cross multiply
    1,404.57x = 2,106.78 × 671.93
  4. Step 4: Simplify right side
    1,404.57x = 1,415,598.15
  5. Step 5: Solve for x
    x = 1,415,598.15/1,404.57
  6. Step 6: Final answer
    x = 1,007.85

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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.