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Finding the Fourth Proportional to 1,401.61, 2,100.27 and 670.18

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Solution

The fourth proportional to 1,401.61, 2,100.27 and 670.18 is: 1,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.61 : 2,100.27 = 670.18 : x
  2. Step 2: Convert to fraction form
    1,401.61/2,100.27 = 670.18/x
  3. Step 3: Cross multiply
    1,401.61x = 2,100.27 × 670.18
  4. Step 4: Simplify right side
    1,401.61x = 1,407,548.45
  5. Step 5: Solve for x
    x = 1,407,548.45/1,401.61
  6. Step 6: Final answer
    x = 1,004.24

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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.