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Finding the Fourth Proportional to 1,772.39, 2,445.60 and 1,016.06

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Solution

The fourth proportional to 1,772.39, 2,445.60 and 1,016.06 is: 1,401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.39 : 2,445.60 = 1,016.06 : x
  2. Step 2: Convert to fraction form
    1,772.39/2,445.60 = 1,016.06/x
  3. Step 3: Cross multiply
    1,772.39x = 2,445.60 × 1,016.06
  4. Step 4: Simplify right side
    1,772.39x = 2,484,876.34
  5. Step 5: Solve for x
    x = 2,484,876.34/1,772.39
  6. Step 6: Final answer
    x = 1,401.99

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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.