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Finding the Fourth Proportional to 2,541.39, 3,810.68 and 1,416.00

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Solution

The fourth proportional to 2,541.39, 3,810.68 and 1,416.00 is: 2,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.39 : 3,810.68 = 1,416.00 : x
  2. Step 2: Convert to fraction form
    2,541.39/3,810.68 = 1,416.00/x
  3. Step 3: Cross multiply
    2,541.39x = 3,810.68 × 1,416.00
  4. Step 4: Simplify right side
    2,541.39x = 5,395,913.96
  5. Step 5: Solve for x
    x = 5,395,913.96/2,541.39
  6. Step 6: Final answer
    x = 2,123.21

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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.