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Finding the Fourth Proportional to 3,095.12, 4,643.40 and 903.80

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Solution

The fourth proportional to 3,095.12, 4,643.40 and 903.80 is: 1,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,095.12 : 4,643.40 = 903.80 : x
  2. Step 2: Convert to fraction form
    3,095.12/4,643.40 = 903.80/x
  3. Step 3: Cross multiply
    3,095.12x = 4,643.40 × 903.80
  4. Step 4: Simplify right side
    3,095.12x = 4,196,704.92
  5. Step 5: Solve for x
    x = 4,196,704.92/3,095.12
  6. Step 6: Final answer
    x = 1,355.91

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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.