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Finding the Fourth Proportional to 1,652.49, 2,280.06 and 1,121.44

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Solution

The fourth proportional to 1,652.49, 2,280.06 and 1,121.44 is: 1,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.49 : 2,280.06 = 1,121.44 : x
  2. Step 2: Convert to fraction form
    1,652.49/2,280.06 = 1,121.44/x
  3. Step 3: Cross multiply
    1,652.49x = 2,280.06 × 1,121.44
  4. Step 4: Simplify right side
    1,652.49x = 2,556,944.88
  5. Step 5: Solve for x
    x = 2,556,944.88/1,652.49
  6. Step 6: Final answer
    x = 1,547.33

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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.