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Finding the Fourth Proportional to 1,776.69, 2,675.34 and 1,317.74

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Solution

The fourth proportional to 1,776.69, 2,675.34 and 1,317.74 is: 1,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.69 : 2,675.34 = 1,317.74 : x
  2. Step 2: Convert to fraction form
    1,776.69/2,675.34 = 1,317.74/x
  3. Step 3: Cross multiply
    1,776.69x = 2,675.34 × 1,317.74
  4. Step 4: Simplify right side
    1,776.69x = 3,525,389.15
  5. Step 5: Solve for x
    x = 3,525,389.15/1,776.69
  6. Step 6: Final answer
    x = 1,984.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.