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Finding the Fourth Proportional to 7,298.00, 10,946.64 and 2,033.00

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Solution

The fourth proportional to 7,298.00, 10,946.64 and 2,033.00 is: 3,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.00 : 10,946.64 = 2,033.00 : x
  2. Step 2: Convert to fraction form
    7,298.00/10,946.64 = 2,033.00/x
  3. Step 3: Cross multiply
    7,298.00x = 10,946.64 × 2,033.00
  4. Step 4: Simplify right side
    7,298.00x = 22,254,513.06
  5. Step 5: Solve for x
    x = 22,254,513.06/7,298.00
  6. Step 6: Final answer
    x = 3,049.40

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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.