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Finding the Fourth Proportional to 2,287.02, 3,155.16 and 1,401.30

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Solution

The fourth proportional to 2,287.02, 3,155.16 and 1,401.30 is: 1,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.02 : 3,155.16 = 1,401.30 : x
  2. Step 2: Convert to fraction form
    2,287.02/3,155.16 = 1,401.30/x
  3. Step 3: Cross multiply
    2,287.02x = 3,155.16 × 1,401.30
  4. Step 4: Simplify right side
    2,287.02x = 4,421,325.71
  5. Step 5: Solve for x
    x = 4,421,325.71/2,287.02
  6. Step 6: Final answer
    x = 1,933.23

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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.