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Finding the Fourth Proportional to 2,303.29, 3,178.04 and 1,594.03

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Solution

The fourth proportional to 2,303.29, 3,178.04 and 1,594.03 is: 2,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.29 : 3,178.04 = 1,594.03 : x
  2. Step 2: Convert to fraction form
    2,303.29/3,178.04 = 1,594.03/x
  3. Step 3: Cross multiply
    2,303.29x = 3,178.04 × 1,594.03
  4. Step 4: Simplify right side
    2,303.29x = 5,065,881.14
  5. Step 5: Solve for x
    x = 5,065,881.14/2,303.29
  6. Step 6: Final answer
    x = 2,199.42

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