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Finding the Fourth Proportional to 2,452.66, 3,384.93 and 1,405.06

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Solution

The fourth proportional to 2,452.66, 3,384.93 and 1,405.06 is: 1,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.66 : 3,384.93 = 1,405.06 : x
  2. Step 2: Convert to fraction form
    2,452.66/3,384.93 = 1,405.06/x
  3. Step 3: Cross multiply
    2,452.66x = 3,384.93 × 1,405.06
  4. Step 4: Simplify right side
    2,452.66x = 4,756,029.75
  5. Step 5: Solve for x
    x = 4,756,029.75/2,452.66
  6. Step 6: Final answer
    x = 1,939.13

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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.