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Finding the Fourth Proportional to 2,298.70, 3,172.10 and 1,303.96

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Solution

The fourth proportional to 2,298.70, 3,172.10 and 1,303.96 is: 1,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.70 : 3,172.10 = 1,303.96 : x
  2. Step 2: Convert to fraction form
    2,298.70/3,172.10 = 1,303.96/x
  3. Step 3: Cross multiply
    2,298.70x = 3,172.10 × 1,303.96
  4. Step 4: Simplify right side
    2,298.70x = 4,136,292.98
  5. Step 5: Solve for x
    x = 4,136,292.98/2,298.70
  6. Step 6: Final answer
    x = 1,799.40

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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.