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Finding the Fourth Proportional to 1,401.88, 2,103.03 and 671.32

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Solution

The fourth proportional to 1,401.88, 2,103.03 and 671.32 is: 1,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.88 : 2,103.03 = 671.32 : x
  2. Step 2: Convert to fraction form
    1,401.88/2,103.03 = 671.32/x
  3. Step 3: Cross multiply
    1,401.88x = 2,103.03 × 671.32
  4. Step 4: Simplify right side
    1,401.88x = 1,411,806.10
  5. Step 5: Solve for x
    x = 1,411,806.10/1,401.88
  6. Step 6: Final answer
    x = 1,007.08

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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.