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Finding the Fourth Proportional to 2,505.98, 3,458.14 and 1,386.86

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Solution

The fourth proportional to 2,505.98, 3,458.14 and 1,386.86 is: 1,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.98 : 3,458.14 = 1,386.86 : x
  2. Step 2: Convert to fraction form
    2,505.98/3,458.14 = 1,386.86/x
  3. Step 3: Cross multiply
    2,505.98x = 3,458.14 × 1,386.86
  4. Step 4: Simplify right side
    2,505.98x = 4,795,956.04
  5. Step 5: Solve for x
    x = 4,795,956.04/2,505.98
  6. Step 6: Final answer
    x = 1,913.80

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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.