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Finding the Fourth Proportional to 1,662.34, 2,293.90 and 916.25

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Solution

The fourth proportional to 1,662.34, 2,293.90 and 916.25 is: 1,264.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.34 : 2,293.90 = 916.25 : x
  2. Step 2: Convert to fraction form
    1,662.34/2,293.90 = 916.25/x
  3. Step 3: Cross multiply
    1,662.34x = 2,293.90 × 916.25
  4. Step 4: Simplify right side
    1,662.34x = 2,101,781.29
  5. Step 5: Solve for x
    x = 2,101,781.29/1,662.34
  6. Step 6: Final answer
    x = 1,264.35

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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.