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Finding the Fourth Proportional to 2,652.95, 3,661.16 and 1,458.05

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Solution

The fourth proportional to 2,652.95, 3,661.16 and 1,458.05 is: 2,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.95 : 3,661.16 = 1,458.05 : x
  2. Step 2: Convert to fraction form
    2,652.95/3,661.16 = 1,458.05/x
  3. Step 3: Cross multiply
    2,652.95x = 3,661.16 × 1,458.05
  4. Step 4: Simplify right side
    2,652.95x = 5,338,149.34
  5. Step 5: Solve for x
    x = 5,338,149.34/2,652.95
  6. Step 6: Final answer
    x = 2,012.16

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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.