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Finding the Fourth Proportional to 1,776.42, 2,661.75 and 1,313.55

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Solution

The fourth proportional to 1,776.42, 2,661.75 and 1,313.55 is: 1,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.42 : 2,661.75 = 1,313.55 : x
  2. Step 2: Convert to fraction form
    1,776.42/2,661.75 = 1,313.55/x
  3. Step 3: Cross multiply
    1,776.42x = 2,661.75 × 1,313.55
  4. Step 4: Simplify right side
    1,776.42x = 3,496,341.71
  5. Step 5: Solve for x
    x = 3,496,341.71/1,776.42
  6. Step 6: Final answer
    x = 1,968.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.