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Finding the Fourth Proportional to 1,625.03, 2,242.45 and 916.99

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Solution

The fourth proportional to 1,625.03, 2,242.45 and 916.99 is: 1,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.03 : 2,242.45 = 916.99 : x
  2. Step 2: Convert to fraction form
    1,625.03/2,242.45 = 916.99/x
  3. Step 3: Cross multiply
    1,625.03x = 2,242.45 × 916.99
  4. Step 4: Simplify right side
    1,625.03x = 2,056,304.23
  5. Step 5: Solve for x
    x = 2,056,304.23/1,625.03
  6. Step 6: Final answer
    x = 1,265.39

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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.