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Finding the Fourth Proportional to 1,320.66, 1,822.74 and 1,181.52

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Solution

The fourth proportional to 1,320.66, 1,822.74 and 1,181.52 is: 1,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.66 : 1,822.74 = 1,181.52 : x
  2. Step 2: Convert to fraction form
    1,320.66/1,822.74 = 1,181.52/x
  3. Step 3: Cross multiply
    1,320.66x = 1,822.74 × 1,181.52
  4. Step 4: Simplify right side
    1,320.66x = 2,153,603.76
  5. Step 5: Solve for x
    x = 2,153,603.76/1,320.66
  6. Step 6: Final answer
    x = 1,630.70

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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.