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Finding the Fourth Proportional to 2,303.36, 3,455.14 and 660.14

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Solution

The fourth proportional to 2,303.36, 3,455.14 and 660.14 is: 990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.36 : 3,455.14 = 660.14 : x
  2. Step 2: Convert to fraction form
    2,303.36/3,455.14 = 660.14/x
  3. Step 3: Cross multiply
    2,303.36x = 3,455.14 × 660.14
  4. Step 4: Simplify right side
    2,303.36x = 2,280,876.12
  5. Step 5: Solve for x
    x = 2,280,876.12/2,303.36
  6. Step 6: Final answer
    x = 990.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.