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Finding the Fourth Proportional to 1,420.11, 2,130.06 and 446.20

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Solution

The fourth proportional to 1,420.11, 2,130.06 and 446.20 is: 669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.11 : 2,130.06 = 446.20 : x
  2. Step 2: Convert to fraction form
    1,420.11/2,130.06 = 446.20/x
  3. Step 3: Cross multiply
    1,420.11x = 2,130.06 × 446.20
  4. Step 4: Simplify right side
    1,420.11x = 950,432.77
  5. Step 5: Solve for x
    x = 950,432.77/1,420.11
  6. Step 6: Final answer
    x = 669.27

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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.