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Finding the Fourth Proportional to 1,453.13, 2,181.05 and 1,130.54

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Solution

The fourth proportional to 1,453.13, 2,181.05 and 1,130.54 is: 1,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.13 : 2,181.05 = 1,130.54 : x
  2. Step 2: Convert to fraction form
    1,453.13/2,181.05 = 1,130.54/x
  3. Step 3: Cross multiply
    1,453.13x = 2,181.05 × 1,130.54
  4. Step 4: Simplify right side
    1,453.13x = 2,465,747.71
  5. Step 5: Solve for x
    x = 2,465,747.71/1,453.13
  6. Step 6: Final answer
    x = 1,696.86

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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.