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Finding the Fourth Proportional to 1,420.06, 2,130.45 and 446.17

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Solution

The fourth proportional to 1,420.06, 2,130.45 and 446.17 is: 669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.06 : 2,130.45 = 446.17 : x
  2. Step 2: Convert to fraction form
    1,420.06/2,130.45 = 446.17/x
  3. Step 3: Cross multiply
    1,420.06x = 2,130.45 × 446.17
  4. Step 4: Simplify right side
    1,420.06x = 950,532.22
  5. Step 5: Solve for x
    x = 950,532.22/1,420.06
  6. Step 6: Final answer
    x = 669.36

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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.