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Finding the Fourth Proportional to 2,495.82, 3,444.35 and 1,376.78

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Solution

The fourth proportional to 2,495.82, 3,444.35 and 1,376.78 is: 1,900.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.82 : 3,444.35 = 1,376.78 : x
  2. Step 2: Convert to fraction form
    2,495.82/3,444.35 = 1,376.78/x
  3. Step 3: Cross multiply
    2,495.82x = 3,444.35 × 1,376.78
  4. Step 4: Simplify right side
    2,495.82x = 4,742,094.97
  5. Step 5: Solve for x
    x = 4,742,094.97/2,495.82
  6. Step 6: Final answer
    x = 1,900.01

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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.