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Finding the Fourth Proportional to 1,662.58, 2,295.29 and 1,307.80

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Solution

The fourth proportional to 1,662.58, 2,295.29 and 1,307.80 is: 1,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.58 : 2,295.29 = 1,307.80 : x
  2. Step 2: Convert to fraction form
    1,662.58/2,295.29 = 1,307.80/x
  3. Step 3: Cross multiply
    1,662.58x = 2,295.29 × 1,307.80
  4. Step 4: Simplify right side
    1,662.58x = 3,001,773.72
  5. Step 5: Solve for x
    x = 3,001,773.72/1,662.58
  6. Step 6: Final answer
    x = 1,805.49

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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.