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Finding the Fourth Proportional to 2,303.29, 3,178.07 and 1,359.03

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Solution

The fourth proportional to 2,303.29, 3,178.07 and 1,359.03 is: 1,875.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.29 : 3,178.07 = 1,359.03 : x
  2. Step 2: Convert to fraction form
    2,303.29/3,178.07 = 1,359.03/x
  3. Step 3: Cross multiply
    2,303.29x = 3,178.07 × 1,359.03
  4. Step 4: Simplify right side
    2,303.29x = 4,319,093.62
  5. Step 5: Solve for x
    x = 4,319,093.62/2,303.29
  6. Step 6: Final answer
    x = 1,875.18

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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.