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Finding the Fourth Proportional to 2,303.34, 3,455.64 and 660.03

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Solution

The fourth proportional to 2,303.34, 3,455.64 and 660.03 is: 990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.34 : 3,455.64 = 660.03 : x
  2. Step 2: Convert to fraction form
    2,303.34/3,455.64 = 660.03/x
  3. Step 3: Cross multiply
    2,303.34x = 3,455.64 × 660.03
  4. Step 4: Simplify right side
    2,303.34x = 2,280,826.07
  5. Step 5: Solve for x
    x = 2,280,826.07/2,303.34
  6. Step 6: Final answer
    x = 990.23

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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.