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Finding the Fourth Proportional to 1,662.40, 2,294.01 and 916.37

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Solution

The fourth proportional to 1,662.40, 2,294.01 and 916.37 is: 1,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.40 : 2,294.01 = 916.37 : x
  2. Step 2: Convert to fraction form
    1,662.40/2,294.01 = 916.37/x
  3. Step 3: Cross multiply
    1,662.40x = 2,294.01 × 916.37
  4. Step 4: Simplify right side
    1,662.40x = 2,102,162.94
  5. Step 5: Solve for x
    x = 2,102,162.94/1,662.40
  6. Step 6: Final answer
    x = 1,264.53

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Why These Related Problems?

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