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Finding the Fourth Proportional to 2,603.98, 3,902.46 and 958.96

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Solution

The fourth proportional to 2,603.98, 3,902.46 and 958.96 is: 1,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.98 : 3,902.46 = 958.96 : x
  2. Step 2: Convert to fraction form
    2,603.98/3,902.46 = 958.96/x
  3. Step 3: Cross multiply
    2,603.98x = 3,902.46 × 958.96
  4. Step 4: Simplify right side
    2,603.98x = 3,742,303.04
  5. Step 5: Solve for x
    x = 3,742,303.04/2,603.98
  6. Step 6: Final answer
    x = 1,437.15

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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.