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Finding the Fourth Proportional to 2,298.03, 3,171.03 and 1,303.11

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Solution

The fourth proportional to 2,298.03, 3,171.03 and 1,303.11 is: 1,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.03 : 3,171.03 = 1,303.11 : x
  2. Step 2: Convert to fraction form
    2,298.03/3,171.03 = 1,303.11/x
  3. Step 3: Cross multiply
    2,298.03x = 3,171.03 × 1,303.11
  4. Step 4: Simplify right side
    2,298.03x = 4,132,200.90
  5. Step 5: Solve for x
    x = 4,132,200.90/2,298.03
  6. Step 6: Final answer
    x = 1,798.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.