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Finding the Fourth Proportional to 1,776.84, 2,452.48 and 1,148.07

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Solution

The fourth proportional to 1,776.84, 2,452.48 and 1,148.07 is: 1,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.84 : 2,452.48 = 1,148.07 : x
  2. Step 2: Convert to fraction form
    1,776.84/2,452.48 = 1,148.07/x
  3. Step 3: Cross multiply
    1,776.84x = 2,452.48 × 1,148.07
  4. Step 4: Simplify right side
    1,776.84x = 2,815,625.04
  5. Step 5: Solve for x
    x = 2,815,625.04/1,776.84
  6. Step 6: Final answer
    x = 1,584.63

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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.