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Finding the Fourth Proportional to 1,466.89, 2,024.33 and 907.24

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Solution

The fourth proportional to 1,466.89, 2,024.33 and 907.24 is: 1,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.89 : 2,024.33 = 907.24 : x
  2. Step 2: Convert to fraction form
    1,466.89/2,024.33 = 907.24/x
  3. Step 3: Cross multiply
    1,466.89x = 2,024.33 × 907.24
  4. Step 4: Simplify right side
    1,466.89x = 1,836,553.15
  5. Step 5: Solve for x
    x = 1,836,553.15/1,466.89
  6. Step 6: Final answer
    x = 1,252.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.