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Finding the Fourth Proportional to 1,677.85, 2,307.22 and 1,456.41

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Solution

The fourth proportional to 1,677.85, 2,307.22 and 1,456.41 is: 2,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.85 : 2,307.22 = 1,456.41 : x
  2. Step 2: Convert to fraction form
    1,677.85/2,307.22 = 1,456.41/x
  3. Step 3: Cross multiply
    1,677.85x = 2,307.22 × 1,456.41
  4. Step 4: Simplify right side
    1,677.85x = 3,360,258.28
  5. Step 5: Solve for x
    x = 3,360,258.28/1,677.85
  6. Step 6: Final answer
    x = 2,002.72

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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.